53.727 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.127 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.137 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.137 * * [simplify]: iteration 0: 13 enodes 0.143 * * [simplify]: iteration 1: 29 enodes 0.151 * * [simplify]: iteration 2: 58 enodes 0.163 * * [simplify]: iteration 3: 114 enodes 0.196 * * [simplify]: iteration 4: 285 enodes 0.345 * * [simplify]: iteration 5: 806 enodes 1.352 * * [simplify]: iteration 6: 2693 enodes 2.479 * * [simplify]: iteration complete: 5001 enodes 2.480 * * [simplify]: Extracting #0: cost 1 inf + 0 2.480 * * [simplify]: Extracting #1: cost 108 inf + 0 2.483 * * [simplify]: Extracting #2: cost 443 inf + 1 2.489 * * [simplify]: Extracting #3: cost 1003 inf + 8 2.502 * * [simplify]: Extracting #4: cost 1325 inf + 10758 2.547 * * [simplify]: Extracting #5: cost 713 inf + 95758 2.644 * * [simplify]: Extracting #6: cost 212 inf + 355864 2.792 * * [simplify]: Extracting #7: cost 1 inf + 567087 2.977 * * [simplify]: Extracting #8: cost 0 inf + 554854 3.145 * [simplify]: Simplified to: (/ (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) 3.146 * * [progress]: iteration 1 / 4 3.146 * * * [progress]: picking best candidate 3.155 * * * * [pick]: Picked # 3.155 * * * [progress]: localizing error 3.193 * * * [progress]: generating rewritten candidates 3.193 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.210 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.318 * * * [progress]: generating series expansions 3.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.319 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 3.319 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.319 * [taylor]: Taking taylor expansion of 0.5 in k 3.319 * [backup-simplify]: Simplify 0.5 into 0.5 3.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.319 * [taylor]: Taking taylor expansion of 1.0 in k 3.319 * [backup-simplify]: Simplify 1.0 into 1.0 3.319 * [taylor]: Taking taylor expansion of k in k 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.319 * [taylor]: Taking taylor expansion of 2.0 in k 3.319 * [backup-simplify]: Simplify 2.0 into 2.0 3.319 * [taylor]: Taking taylor expansion of (* n PI) in k 3.320 * [taylor]: Taking taylor expansion of n in k 3.320 * [backup-simplify]: Simplify n into n 3.320 * [taylor]: Taking taylor expansion of PI in k 3.320 * [backup-simplify]: Simplify PI into PI 3.320 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.320 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.320 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.320 * [backup-simplify]: Simplify (- 0) into 0 3.321 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.321 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.321 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.322 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.322 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.322 * [taylor]: Taking taylor expansion of 0.5 in n 3.322 * [backup-simplify]: Simplify 0.5 into 0.5 3.322 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.322 * [taylor]: Taking taylor expansion of 1.0 in n 3.322 * [backup-simplify]: Simplify 1.0 into 1.0 3.322 * [taylor]: Taking taylor expansion of k in n 3.322 * [backup-simplify]: Simplify k into k 3.322 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.322 * [taylor]: Taking taylor expansion of 2.0 in n 3.322 * [backup-simplify]: Simplify 2.0 into 2.0 3.322 * [taylor]: Taking taylor expansion of (* n PI) in n 3.322 * [taylor]: Taking taylor expansion of n in n 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [taylor]: Taking taylor expansion of PI in n 3.322 * [backup-simplify]: Simplify PI into PI 3.323 * [backup-simplify]: Simplify (* 0 PI) into 0 3.323 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.327 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.328 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.328 * [backup-simplify]: Simplify (- k) into (- k) 3.328 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.328 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.331 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.333 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.333 * [taylor]: Taking taylor expansion of 0.5 in n 3.333 * [backup-simplify]: Simplify 0.5 into 0.5 3.333 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.333 * [taylor]: Taking taylor expansion of 1.0 in n 3.333 * [backup-simplify]: Simplify 1.0 into 1.0 3.333 * [taylor]: Taking taylor expansion of k in n 3.333 * [backup-simplify]: Simplify k into k 3.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.333 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.333 * [taylor]: Taking taylor expansion of 2.0 in n 3.333 * [backup-simplify]: Simplify 2.0 into 2.0 3.333 * [taylor]: Taking taylor expansion of (* n PI) in n 3.333 * [taylor]: Taking taylor expansion of n in n 3.333 * [backup-simplify]: Simplify 0 into 0 3.333 * [backup-simplify]: Simplify 1 into 1 3.333 * [taylor]: Taking taylor expansion of PI in n 3.333 * [backup-simplify]: Simplify PI into PI 3.334 * [backup-simplify]: Simplify (* 0 PI) into 0 3.334 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.338 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.339 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.339 * [backup-simplify]: Simplify (- k) into (- k) 3.340 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.340 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.341 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.342 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.344 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.344 * [taylor]: Taking taylor expansion of 0.5 in k 3.344 * [backup-simplify]: Simplify 0.5 into 0.5 3.344 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.344 * [taylor]: Taking taylor expansion of 1.0 in k 3.344 * [backup-simplify]: Simplify 1.0 into 1.0 3.344 * [taylor]: Taking taylor expansion of k in k 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.344 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.344 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.344 * [taylor]: Taking taylor expansion of 2.0 in k 3.344 * [backup-simplify]: Simplify 2.0 into 2.0 3.344 * [taylor]: Taking taylor expansion of PI in k 3.344 * [backup-simplify]: Simplify PI into PI 3.345 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.346 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.346 * [taylor]: Taking taylor expansion of (log n) in k 3.346 * [taylor]: Taking taylor expansion of n in k 3.346 * [backup-simplify]: Simplify n into n 3.346 * [backup-simplify]: Simplify (log n) into (log n) 3.347 * [backup-simplify]: Simplify (- 0) into 0 3.347 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.348 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 3.349 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 3.351 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 3.352 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.353 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 3.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.357 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.358 * [backup-simplify]: Simplify (- 0) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 3.360 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.362 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 3.364 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.364 * [taylor]: Taking taylor expansion of 0 in k 3.364 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify 0 into 0 3.365 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 3.368 * [backup-simplify]: Simplify (+ 0 0) into 0 3.368 * [backup-simplify]: Simplify (- 1) into -1 3.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.370 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 3.372 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 3.380 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 3.383 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 3.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.390 * [backup-simplify]: Simplify (- 0) into 0 3.391 * [backup-simplify]: Simplify (+ 0 0) into 0 3.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 3.393 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.395 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.397 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.397 * [taylor]: Taking taylor expansion of 0 in k 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.397 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.402 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 3.402 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 3.406 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 3.408 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.412 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 3.418 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 3.419 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 3.419 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.419 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.419 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.419 * [taylor]: Taking taylor expansion of 0.5 in k 3.419 * [backup-simplify]: Simplify 0.5 into 0.5 3.419 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.419 * [taylor]: Taking taylor expansion of 1.0 in k 3.419 * [backup-simplify]: Simplify 1.0 into 1.0 3.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.419 * [taylor]: Taking taylor expansion of k in k 3.419 * [backup-simplify]: Simplify 0 into 0 3.419 * [backup-simplify]: Simplify 1 into 1 3.419 * [backup-simplify]: Simplify (/ 1 1) into 1 3.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.419 * [taylor]: Taking taylor expansion of 2.0 in k 3.419 * [backup-simplify]: Simplify 2.0 into 2.0 3.419 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.419 * [taylor]: Taking taylor expansion of PI in k 3.419 * [backup-simplify]: Simplify PI into PI 3.419 * [taylor]: Taking taylor expansion of n in k 3.419 * [backup-simplify]: Simplify n into n 3.419 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.420 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.420 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.420 * [backup-simplify]: Simplify (- 1) into -1 3.420 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.420 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.421 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.421 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.421 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.421 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.421 * [taylor]: Taking taylor expansion of 0.5 in n 3.421 * [backup-simplify]: Simplify 0.5 into 0.5 3.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [backup-simplify]: Simplify 1.0 into 1.0 3.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.421 * [taylor]: Taking taylor expansion of k in n 3.421 * [backup-simplify]: Simplify k into k 3.421 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.421 * [taylor]: Taking taylor expansion of 2.0 in n 3.421 * [backup-simplify]: Simplify 2.0 into 2.0 3.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.421 * [taylor]: Taking taylor expansion of PI in n 3.421 * [backup-simplify]: Simplify PI into PI 3.421 * [taylor]: Taking taylor expansion of n in n 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.421 * [backup-simplify]: Simplify (/ PI 1) into PI 3.422 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.422 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.422 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.423 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.423 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.424 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.424 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.425 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.425 * [taylor]: Taking taylor expansion of 0.5 in n 3.425 * [backup-simplify]: Simplify 0.5 into 0.5 3.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.425 * [taylor]: Taking taylor expansion of 1.0 in n 3.425 * [backup-simplify]: Simplify 1.0 into 1.0 3.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.425 * [taylor]: Taking taylor expansion of k in n 3.425 * [backup-simplify]: Simplify k into k 3.425 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.425 * [taylor]: Taking taylor expansion of 2.0 in n 3.425 * [backup-simplify]: Simplify 2.0 into 2.0 3.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.425 * [taylor]: Taking taylor expansion of PI in n 3.425 * [backup-simplify]: Simplify PI into PI 3.425 * [taylor]: Taking taylor expansion of n in n 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (/ PI 1) into PI 3.426 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.427 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.427 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.427 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.427 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.428 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.429 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.431 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 3.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 3.431 * [taylor]: Taking taylor expansion of 0.5 in k 3.431 * [backup-simplify]: Simplify 0.5 into 0.5 3.431 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 3.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.431 * [taylor]: Taking taylor expansion of 1.0 in k 3.431 * [backup-simplify]: Simplify 1.0 into 1.0 3.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.431 * [taylor]: Taking taylor expansion of k in k 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify 1 into 1 3.432 * [backup-simplify]: Simplify (/ 1 1) into 1 3.432 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.432 * [taylor]: Taking taylor expansion of 2.0 in k 3.432 * [backup-simplify]: Simplify 2.0 into 2.0 3.432 * [taylor]: Taking taylor expansion of PI in k 3.432 * [backup-simplify]: Simplify PI into PI 3.432 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.434 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.434 * [taylor]: Taking taylor expansion of (log n) in k 3.434 * [taylor]: Taking taylor expansion of n in k 3.434 * [backup-simplify]: Simplify n into n 3.434 * [backup-simplify]: Simplify (log n) into (log n) 3.434 * [backup-simplify]: Simplify (- 1) into -1 3.434 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.435 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.436 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 3.437 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 3.438 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 3.440 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.441 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 3.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.446 * [backup-simplify]: Simplify (+ 0 0) into 0 3.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 3.448 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.449 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 3.451 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 3.451 * [taylor]: Taking taylor expansion of 0 in k 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 0 into 0 3.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.457 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.458 * [backup-simplify]: Simplify (- 0) into 0 3.458 * [backup-simplify]: Simplify (+ 0 0) into 0 3.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 3.460 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.462 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 3.465 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.465 * [taylor]: Taking taylor expansion of 0 in k 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 0 into 0 3.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.473 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 3.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.474 * [backup-simplify]: Simplify (- 0) into 0 3.475 * [backup-simplify]: Simplify (+ 0 0) into 0 3.476 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 3.477 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.479 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 3.482 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.482 * [taylor]: Taking taylor expansion of 0 in k 3.482 * [backup-simplify]: Simplify 0 into 0 3.482 * [backup-simplify]: Simplify 0 into 0 3.484 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 3.485 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 3.485 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.485 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.485 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.485 * [taylor]: Taking taylor expansion of 0.5 in k 3.485 * [backup-simplify]: Simplify 0.5 into 0.5 3.485 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.485 * [taylor]: Taking taylor expansion of k in k 3.485 * [backup-simplify]: Simplify 0 into 0 3.485 * [backup-simplify]: Simplify 1 into 1 3.485 * [backup-simplify]: Simplify (/ 1 1) into 1 3.485 * [taylor]: Taking taylor expansion of 1.0 in k 3.485 * [backup-simplify]: Simplify 1.0 into 1.0 3.485 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.486 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.486 * [taylor]: Taking taylor expansion of -2.0 in k 3.486 * [backup-simplify]: Simplify -2.0 into -2.0 3.486 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.486 * [taylor]: Taking taylor expansion of PI in k 3.486 * [backup-simplify]: Simplify PI into PI 3.486 * [taylor]: Taking taylor expansion of n in k 3.486 * [backup-simplify]: Simplify n into n 3.486 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.486 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 3.486 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 3.486 * [backup-simplify]: Simplify (+ 1 0) into 1 3.487 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.487 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 3.487 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 3.487 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.487 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.487 * [taylor]: Taking taylor expansion of 0.5 in n 3.488 * [backup-simplify]: Simplify 0.5 into 0.5 3.488 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.488 * [taylor]: Taking taylor expansion of k in n 3.488 * [backup-simplify]: Simplify k into k 3.488 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.488 * [taylor]: Taking taylor expansion of 1.0 in n 3.488 * [backup-simplify]: Simplify 1.0 into 1.0 3.488 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.488 * [taylor]: Taking taylor expansion of -2.0 in n 3.488 * [backup-simplify]: Simplify -2.0 into -2.0 3.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.488 * [taylor]: Taking taylor expansion of PI in n 3.488 * [backup-simplify]: Simplify PI into PI 3.488 * [taylor]: Taking taylor expansion of n in n 3.488 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify 1 into 1 3.489 * [backup-simplify]: Simplify (/ PI 1) into PI 3.489 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.490 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.490 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.490 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.492 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.493 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.495 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.495 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.495 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.495 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.495 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.495 * [taylor]: Taking taylor expansion of 0.5 in n 3.495 * [backup-simplify]: Simplify 0.5 into 0.5 3.495 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.495 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.495 * [taylor]: Taking taylor expansion of k in n 3.495 * [backup-simplify]: Simplify k into k 3.495 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.495 * [taylor]: Taking taylor expansion of 1.0 in n 3.495 * [backup-simplify]: Simplify 1.0 into 1.0 3.495 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.495 * [taylor]: Taking taylor expansion of -2.0 in n 3.495 * [backup-simplify]: Simplify -2.0 into -2.0 3.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.495 * [taylor]: Taking taylor expansion of PI in n 3.495 * [backup-simplify]: Simplify PI into PI 3.495 * [taylor]: Taking taylor expansion of n in n 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ PI 1) into PI 3.497 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.498 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.498 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.498 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 3.499 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.501 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.502 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 3.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 3.502 * [taylor]: Taking taylor expansion of 0.5 in k 3.502 * [backup-simplify]: Simplify 0.5 into 0.5 3.502 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 3.502 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.502 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.502 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.502 * [taylor]: Taking taylor expansion of -2.0 in k 3.502 * [backup-simplify]: Simplify -2.0 into -2.0 3.502 * [taylor]: Taking taylor expansion of PI in k 3.503 * [backup-simplify]: Simplify PI into PI 3.503 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.504 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 3.504 * [taylor]: Taking taylor expansion of (log n) in k 3.504 * [taylor]: Taking taylor expansion of n in k 3.504 * [backup-simplify]: Simplify n into n 3.504 * [backup-simplify]: Simplify (log n) into (log n) 3.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.504 * [taylor]: Taking taylor expansion of k in k 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [taylor]: Taking taylor expansion of 1.0 in k 3.505 * [backup-simplify]: Simplify 1.0 into 1.0 3.505 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 3.505 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.506 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 3.507 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 3.508 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.511 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.512 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.513 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.514 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 3.515 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.516 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 3.517 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.517 * [taylor]: Taking taylor expansion of 0 in k 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify 0 into 0 3.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 3.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.523 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 3.525 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.525 * [taylor]: Taking taylor expansion of 0 in k 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.530 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 3.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 3.530 * [backup-simplify]: Simplify (+ 0 0) into 0 3.531 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 3.532 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 3.533 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 3.535 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.535 * [taylor]: Taking taylor expansion of 0 in k 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.536 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 3.536 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.536 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.536 * [taylor]: Taking taylor expansion of 1.0 in k 3.536 * [backup-simplify]: Simplify 1.0 into 1.0 3.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.537 * [taylor]: Taking taylor expansion of k in k 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [backup-simplify]: Simplify (sqrt 0) into 0 3.539 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.539 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.539 * [taylor]: Taking taylor expansion of 1.0 in k 3.539 * [backup-simplify]: Simplify 1.0 into 1.0 3.539 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.539 * [taylor]: Taking taylor expansion of k in k 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [backup-simplify]: Simplify (sqrt 0) into 0 3.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.542 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.542 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.543 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.546 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.547 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.547 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.551 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.552 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.553 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 3.553 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 3.553 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.553 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.553 * [taylor]: Taking taylor expansion of 1.0 in k 3.553 * [backup-simplify]: Simplify 1.0 into 1.0 3.553 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.553 * [taylor]: Taking taylor expansion of k in k 3.553 * [backup-simplify]: Simplify 0 into 0 3.553 * [backup-simplify]: Simplify 1 into 1 3.553 * [backup-simplify]: Simplify (sqrt 0) into 0 3.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.554 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.554 * [taylor]: Taking taylor expansion of 1.0 in k 3.554 * [backup-simplify]: Simplify 1.0 into 1.0 3.554 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.554 * [taylor]: Taking taylor expansion of k in k 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (sqrt 0) into 0 3.555 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.555 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 3.557 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.558 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.559 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 3.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.563 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 3.564 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.565 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 3.565 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 3.565 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.565 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.565 * [taylor]: Taking taylor expansion of 1.0 in k 3.565 * [backup-simplify]: Simplify 1.0 into 1.0 3.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.565 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.565 * [taylor]: Taking taylor expansion of -1 in k 3.565 * [backup-simplify]: Simplify -1 into -1 3.565 * [taylor]: Taking taylor expansion of k in k 3.565 * [backup-simplify]: Simplify 0 into 0 3.565 * [backup-simplify]: Simplify 1 into 1 3.565 * [backup-simplify]: Simplify (/ -1 1) into -1 3.565 * [backup-simplify]: Simplify (sqrt 0) into 0 3.566 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.566 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.566 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.567 * [taylor]: Taking taylor expansion of 1.0 in k 3.567 * [backup-simplify]: Simplify 1.0 into 1.0 3.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.567 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.567 * [taylor]: Taking taylor expansion of -1 in k 3.567 * [backup-simplify]: Simplify -1 into -1 3.567 * [taylor]: Taking taylor expansion of k in k 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ -1 1) into -1 3.567 * [backup-simplify]: Simplify (sqrt 0) into 0 3.568 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.568 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 3.568 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.572 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 3.572 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.578 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 3.578 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.579 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.579 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.579 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.579 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.579 * [taylor]: Taking taylor expansion of 2.0 in n 3.579 * [backup-simplify]: Simplify 2.0 into 2.0 3.579 * [taylor]: Taking taylor expansion of (* n PI) in n 3.579 * [taylor]: Taking taylor expansion of n in n 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of PI in n 3.579 * [backup-simplify]: Simplify PI into PI 3.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.579 * [taylor]: Taking taylor expansion of 2.0 in n 3.579 * [backup-simplify]: Simplify 2.0 into 2.0 3.579 * [taylor]: Taking taylor expansion of (* n PI) in n 3.579 * [taylor]: Taking taylor expansion of n in n 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.579 * [taylor]: Taking taylor expansion of PI in n 3.579 * [backup-simplify]: Simplify PI into PI 3.580 * [backup-simplify]: Simplify (* 0 PI) into 0 3.580 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.582 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.582 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.584 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.585 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.588 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.590 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.593 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 3.594 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 3.594 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.594 * [taylor]: Taking taylor expansion of 2.0 in n 3.594 * [backup-simplify]: Simplify 2.0 into 2.0 3.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.594 * [taylor]: Taking taylor expansion of PI in n 3.594 * [backup-simplify]: Simplify PI into PI 3.594 * [taylor]: Taking taylor expansion of n in n 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (/ PI 1) into PI 3.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.594 * [taylor]: Taking taylor expansion of 2.0 in n 3.594 * [backup-simplify]: Simplify 2.0 into 2.0 3.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.594 * [taylor]: Taking taylor expansion of PI in n 3.594 * [backup-simplify]: Simplify PI into PI 3.594 * [taylor]: Taking taylor expansion of n in n 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 1 into 1 3.594 * [backup-simplify]: Simplify (/ PI 1) into PI 3.595 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.595 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 3.596 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.597 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.601 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.604 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 3.607 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 3.607 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.607 * [taylor]: Taking taylor expansion of -2.0 in n 3.607 * [backup-simplify]: Simplify -2.0 into -2.0 3.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.607 * [taylor]: Taking taylor expansion of PI in n 3.607 * [backup-simplify]: Simplify PI into PI 3.607 * [taylor]: Taking taylor expansion of n in n 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (/ PI 1) into PI 3.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.607 * [taylor]: Taking taylor expansion of -2.0 in n 3.607 * [backup-simplify]: Simplify -2.0 into -2.0 3.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.607 * [taylor]: Taking taylor expansion of PI in n 3.607 * [backup-simplify]: Simplify PI into PI 3.607 * [taylor]: Taking taylor expansion of n in n 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (/ PI 1) into PI 3.608 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.609 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 3.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 3.613 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.615 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.618 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.621 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.621 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 3.625 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.626 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 3.626 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 3.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 3.626 * [taylor]: Taking taylor expansion of 1.0 in n 3.626 * [backup-simplify]: Simplify 1.0 into 1.0 3.626 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 3.626 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.626 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.626 * [taylor]: Taking taylor expansion of 0.5 in n 3.626 * [backup-simplify]: Simplify 0.5 into 0.5 3.626 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.626 * [taylor]: Taking taylor expansion of 1.0 in n 3.626 * [backup-simplify]: Simplify 1.0 into 1.0 3.626 * [taylor]: Taking taylor expansion of k in n 3.626 * [backup-simplify]: Simplify k into k 3.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.626 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.626 * [taylor]: Taking taylor expansion of 2.0 in n 3.626 * [backup-simplify]: Simplify 2.0 into 2.0 3.626 * [taylor]: Taking taylor expansion of (* n PI) in n 3.626 * [taylor]: Taking taylor expansion of n in n 3.626 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify 1 into 1 3.626 * [taylor]: Taking taylor expansion of PI in n 3.626 * [backup-simplify]: Simplify PI into PI 3.627 * [backup-simplify]: Simplify (* 0 PI) into 0 3.627 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.631 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.632 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.632 * [backup-simplify]: Simplify (- k) into (- k) 3.632 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 3.632 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 3.633 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.635 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 3.636 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.636 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.636 * [taylor]: Taking taylor expansion of k in n 3.636 * [backup-simplify]: Simplify k into k 3.636 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.636 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 3.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 3.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 3.636 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.636 * [taylor]: Taking taylor expansion of 1.0 in k 3.636 * [backup-simplify]: Simplify 1.0 into 1.0 3.636 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.637 * [taylor]: Taking taylor expansion of 0.5 in k 3.637 * [backup-simplify]: Simplify 0.5 into 0.5 3.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.637 * [taylor]: Taking taylor expansion of 1.0 in k 3.637 * [backup-simplify]: Simplify 1.0 into 1.0 3.637 * [taylor]: Taking taylor expansion of k in k 3.637 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify 1 into 1 3.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.637 * [taylor]: Taking taylor expansion of 2.0 in k 3.637 * [backup-simplify]: Simplify 2.0 into 2.0 3.637 * [taylor]: Taking taylor expansion of (* n PI) in k 3.637 * [taylor]: Taking taylor expansion of n in k 3.637 * [backup-simplify]: Simplify n into n 3.637 * [taylor]: Taking taylor expansion of PI in k 3.637 * [backup-simplify]: Simplify PI into PI 3.637 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.637 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.637 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.638 * [backup-simplify]: Simplify (- 0) into 0 3.638 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.639 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.639 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.639 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.639 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.639 * [taylor]: Taking taylor expansion of k in k 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.640 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [backup-simplify]: Simplify (sqrt 0) into 0 3.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.641 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 3.641 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [backup-simplify]: Simplify 1.0 into 1.0 3.642 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 3.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.642 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.642 * [taylor]: Taking taylor expansion of 0.5 in k 3.642 * [backup-simplify]: Simplify 0.5 into 0.5 3.642 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.642 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [backup-simplify]: Simplify 1.0 into 1.0 3.642 * [taylor]: Taking taylor expansion of k in k 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.642 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.642 * [taylor]: Taking taylor expansion of 2.0 in k 3.642 * [backup-simplify]: Simplify 2.0 into 2.0 3.642 * [taylor]: Taking taylor expansion of (* n PI) in k 3.642 * [taylor]: Taking taylor expansion of n in k 3.642 * [backup-simplify]: Simplify n into n 3.642 * [taylor]: Taking taylor expansion of PI in k 3.642 * [backup-simplify]: Simplify PI into PI 3.642 * [backup-simplify]: Simplify (* n PI) into (* n PI) 3.643 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 3.643 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 3.643 * [backup-simplify]: Simplify (- 0) into 0 3.644 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.644 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 3.644 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 3.644 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 3.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.644 * [taylor]: Taking taylor expansion of k in k 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 1 into 1 3.645 * [backup-simplify]: Simplify (/ 1 1) into 1 3.645 * [backup-simplify]: Simplify (sqrt 0) into 0 3.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.647 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 3.648 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.648 * [taylor]: Taking taylor expansion of 0 in n 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify 0 into 0 3.648 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 3.649 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 3.650 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 3.650 * [backup-simplify]: Simplify (- 1) into -1 3.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.652 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 3.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 3.654 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 3.655 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.657 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.657 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.657 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.657 * [taylor]: Taking taylor expansion of +nan.0 in n 3.657 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.657 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.657 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.658 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.658 * [taylor]: Taking taylor expansion of 0.5 in n 3.658 * [backup-simplify]: Simplify 0.5 into 0.5 3.658 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.658 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.658 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.658 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.658 * [taylor]: Taking taylor expansion of 1.0 in n 3.658 * [backup-simplify]: Simplify 1.0 into 1.0 3.658 * [taylor]: Taking taylor expansion of (log PI) in n 3.658 * [taylor]: Taking taylor expansion of PI in n 3.658 * [backup-simplify]: Simplify PI into PI 3.658 * [backup-simplify]: Simplify (log PI) into (log PI) 3.659 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.661 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.661 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.661 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.661 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.661 * [taylor]: Taking taylor expansion of 1.0 in n 3.661 * [backup-simplify]: Simplify 1.0 into 1.0 3.661 * [taylor]: Taking taylor expansion of (log n) in n 3.661 * [taylor]: Taking taylor expansion of n in n 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (log 1) into 0 3.662 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.662 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.662 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.663 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.663 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.663 * [taylor]: Taking taylor expansion of 1.0 in n 3.663 * [backup-simplify]: Simplify 1.0 into 1.0 3.663 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.663 * [taylor]: Taking taylor expansion of 2.0 in n 3.663 * [backup-simplify]: Simplify 2.0 into 2.0 3.663 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.664 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.666 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.666 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 3.668 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 3.669 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 3.670 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 3.672 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 3.673 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 3.675 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.676 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 3.676 * [backup-simplify]: Simplify 0 into 0 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.680 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.681 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 3.682 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 3.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 3.684 * [backup-simplify]: Simplify (- 0) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 3.687 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 3.689 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 3.693 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 3.698 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 3.698 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.698 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.699 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.699 * [taylor]: Taking taylor expansion of +nan.0 in n 3.699 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.699 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.699 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.699 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.699 * [taylor]: Taking taylor expansion of 0.5 in n 3.699 * [backup-simplify]: Simplify 0.5 into 0.5 3.699 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.699 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.699 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.699 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.699 * [taylor]: Taking taylor expansion of 1.0 in n 3.699 * [backup-simplify]: Simplify 1.0 into 1.0 3.699 * [taylor]: Taking taylor expansion of (log PI) in n 3.699 * [taylor]: Taking taylor expansion of PI in n 3.699 * [backup-simplify]: Simplify PI into PI 3.700 * [backup-simplify]: Simplify (log PI) into (log PI) 3.701 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.702 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.702 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.702 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.702 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.702 * [taylor]: Taking taylor expansion of 1.0 in n 3.703 * [backup-simplify]: Simplify 1.0 into 1.0 3.703 * [taylor]: Taking taylor expansion of (log n) in n 3.703 * [taylor]: Taking taylor expansion of n in n 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (log 1) into 0 3.704 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.704 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.704 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.704 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.704 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.704 * [taylor]: Taking taylor expansion of 1.0 in n 3.704 * [backup-simplify]: Simplify 1.0 into 1.0 3.704 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.704 * [taylor]: Taking taylor expansion of 2.0 in n 3.704 * [backup-simplify]: Simplify 2.0 into 2.0 3.704 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.705 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.707 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.708 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 3.709 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 3.710 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 3.712 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 3.713 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 3.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.713 * [taylor]: Taking taylor expansion of 2.0 in n 3.713 * [backup-simplify]: Simplify 2.0 into 2.0 3.713 * [taylor]: Taking taylor expansion of (* n PI) in n 3.713 * [taylor]: Taking taylor expansion of n in n 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.713 * [taylor]: Taking taylor expansion of PI in n 3.714 * [backup-simplify]: Simplify PI into PI 3.714 * [backup-simplify]: Simplify (* 0 PI) into 0 3.714 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.718 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.719 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.719 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.719 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.719 * [taylor]: Taking taylor expansion of +nan.0 in n 3.719 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.719 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.719 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.719 * [taylor]: Taking taylor expansion of 0.5 in n 3.719 * [backup-simplify]: Simplify 0.5 into 0.5 3.719 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.719 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.719 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.719 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.719 * [taylor]: Taking taylor expansion of 1.0 in n 3.719 * [backup-simplify]: Simplify 1.0 into 1.0 3.719 * [taylor]: Taking taylor expansion of (log PI) in n 3.720 * [taylor]: Taking taylor expansion of PI in n 3.720 * [backup-simplify]: Simplify PI into PI 3.720 * [backup-simplify]: Simplify (log PI) into (log PI) 3.721 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.723 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.723 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.723 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.723 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.723 * [taylor]: Taking taylor expansion of 1.0 in n 3.723 * [backup-simplify]: Simplify 1.0 into 1.0 3.723 * [taylor]: Taking taylor expansion of (log n) in n 3.723 * [taylor]: Taking taylor expansion of n in n 3.723 * [backup-simplify]: Simplify 0 into 0 3.723 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (log 1) into 0 3.724 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.724 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.724 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.724 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.724 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.724 * [taylor]: Taking taylor expansion of 1.0 in n 3.724 * [backup-simplify]: Simplify 1.0 into 1.0 3.724 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.724 * [taylor]: Taking taylor expansion of 2.0 in n 3.724 * [backup-simplify]: Simplify 2.0 into 2.0 3.725 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.726 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.727 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.728 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 3.729 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 3.731 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 3.732 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 3.734 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 3.735 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.738 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.741 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.742 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 3.744 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 3.748 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.759 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 3.766 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 3.768 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 3.771 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 3.773 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.773 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.774 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 3.775 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 3.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 3.779 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 3.781 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 3.782 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 3.785 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 3.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 3.789 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 3.791 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 3.791 * [backup-simplify]: Simplify (- 0) into 0 3.791 * [backup-simplify]: Simplify 0 into 0 3.792 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.798 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.799 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 3.802 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 3.803 * [backup-simplify]: Simplify (- 0) into 0 3.804 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 3.808 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 3.812 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.818 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 3.818 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.818 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.818 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.818 * [taylor]: Taking taylor expansion of +nan.0 in n 3.818 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.818 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.818 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.818 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.818 * [taylor]: Taking taylor expansion of 0.5 in n 3.818 * [backup-simplify]: Simplify 0.5 into 0.5 3.818 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.818 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.818 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.818 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.818 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.818 * [taylor]: Taking taylor expansion of 1.0 in n 3.818 * [backup-simplify]: Simplify 1.0 into 1.0 3.819 * [taylor]: Taking taylor expansion of (log PI) in n 3.819 * [taylor]: Taking taylor expansion of PI in n 3.819 * [backup-simplify]: Simplify PI into PI 3.819 * [backup-simplify]: Simplify (log PI) into (log PI) 3.819 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.820 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.820 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.820 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.821 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.821 * [taylor]: Taking taylor expansion of 1.0 in n 3.821 * [backup-simplify]: Simplify 1.0 into 1.0 3.821 * [taylor]: Taking taylor expansion of (log n) in n 3.821 * [taylor]: Taking taylor expansion of n in n 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.821 * [backup-simplify]: Simplify (log 1) into 0 3.821 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.821 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.821 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.821 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.821 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.821 * [taylor]: Taking taylor expansion of 1.0 in n 3.821 * [backup-simplify]: Simplify 1.0 into 1.0 3.821 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.821 * [taylor]: Taking taylor expansion of 2.0 in n 3.821 * [backup-simplify]: Simplify 2.0 into 2.0 3.822 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.822 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.823 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.824 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 3.824 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 3.825 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 3.826 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 3.827 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 3.827 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.827 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.827 * [taylor]: Taking taylor expansion of 2.0 in n 3.827 * [backup-simplify]: Simplify 2.0 into 2.0 3.827 * [taylor]: Taking taylor expansion of (* n PI) in n 3.827 * [taylor]: Taking taylor expansion of n in n 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [taylor]: Taking taylor expansion of PI in n 3.827 * [backup-simplify]: Simplify PI into PI 3.827 * [backup-simplify]: Simplify (* 0 PI) into 0 3.828 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.830 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.830 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.830 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.830 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.830 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.830 * [taylor]: Taking taylor expansion of +nan.0 in n 3.830 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.830 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.830 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.830 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.830 * [taylor]: Taking taylor expansion of 0.5 in n 3.830 * [backup-simplify]: Simplify 0.5 into 0.5 3.831 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.831 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.831 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.831 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.831 * [taylor]: Taking taylor expansion of 1.0 in n 3.831 * [backup-simplify]: Simplify 1.0 into 1.0 3.831 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.831 * [taylor]: Taking taylor expansion of 2.0 in n 3.831 * [backup-simplify]: Simplify 2.0 into 2.0 3.831 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.831 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.832 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.832 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.832 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.833 * [taylor]: Taking taylor expansion of 1.0 in n 3.833 * [backup-simplify]: Simplify 1.0 into 1.0 3.833 * [taylor]: Taking taylor expansion of (log n) in n 3.833 * [taylor]: Taking taylor expansion of n in n 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (log 1) into 0 3.833 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.833 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.833 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.833 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.833 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.833 * [taylor]: Taking taylor expansion of 1.0 in n 3.833 * [backup-simplify]: Simplify 1.0 into 1.0 3.833 * [taylor]: Taking taylor expansion of (log PI) in n 3.833 * [taylor]: Taking taylor expansion of PI in n 3.833 * [backup-simplify]: Simplify PI into PI 3.834 * [backup-simplify]: Simplify (log PI) into (log PI) 3.834 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.835 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.836 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 3.837 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 3.838 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 3.840 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 3.841 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 3.841 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.841 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.841 * [taylor]: Taking taylor expansion of +nan.0 in n 3.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.842 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.842 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.842 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.842 * [taylor]: Taking taylor expansion of 0.5 in n 3.842 * [backup-simplify]: Simplify 0.5 into 0.5 3.842 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.842 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.842 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.842 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.842 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.842 * [taylor]: Taking taylor expansion of 1.0 in n 3.842 * [backup-simplify]: Simplify 1.0 into 1.0 3.842 * [taylor]: Taking taylor expansion of (log PI) in n 3.842 * [taylor]: Taking taylor expansion of PI in n 3.842 * [backup-simplify]: Simplify PI into PI 3.843 * [backup-simplify]: Simplify (log PI) into (log PI) 3.844 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 3.845 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 3.845 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.846 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.846 * [taylor]: Taking taylor expansion of 1.0 in n 3.846 * [backup-simplify]: Simplify 1.0 into 1.0 3.846 * [taylor]: Taking taylor expansion of (log n) in n 3.846 * [taylor]: Taking taylor expansion of n in n 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.846 * [backup-simplify]: Simplify (log 1) into 0 3.847 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 3.847 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 3.847 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 3.847 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.847 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.847 * [taylor]: Taking taylor expansion of 1.0 in n 3.847 * [backup-simplify]: Simplify 1.0 into 1.0 3.847 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.847 * [taylor]: Taking taylor expansion of 2.0 in n 3.847 * [backup-simplify]: Simplify 2.0 into 2.0 3.847 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 3.848 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 3.850 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 3.851 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 3.852 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 3.853 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 3.855 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 3.857 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 3.857 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.857 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.857 * [taylor]: Taking taylor expansion of 2.0 in n 3.857 * [backup-simplify]: Simplify 2.0 into 2.0 3.857 * [taylor]: Taking taylor expansion of (* n PI) in n 3.857 * [taylor]: Taking taylor expansion of n in n 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify 1 into 1 3.857 * [taylor]: Taking taylor expansion of PI in n 3.857 * [backup-simplify]: Simplify PI into PI 3.858 * [backup-simplify]: Simplify (* 0 PI) into 0 3.858 * [backup-simplify]: Simplify (* 2.0 0) into 0 3.860 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.861 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 3.862 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.864 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.866 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.869 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 3.871 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 3.873 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 3.875 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.876 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 3.878 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 3.881 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 3.884 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 3.887 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 3.897 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 3.913 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))))) 3.926 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 3.936 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 3.946 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 3.965 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 3.967 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 3.967 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 3.967 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 3.967 * [taylor]: Taking taylor expansion of 1.0 in n 3.967 * [backup-simplify]: Simplify 1.0 into 1.0 3.967 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 3.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.967 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.967 * [taylor]: Taking taylor expansion of 0.5 in n 3.967 * [backup-simplify]: Simplify 0.5 into 0.5 3.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.967 * [taylor]: Taking taylor expansion of 1.0 in n 3.967 * [backup-simplify]: Simplify 1.0 into 1.0 3.967 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.967 * [taylor]: Taking taylor expansion of k in n 3.967 * [backup-simplify]: Simplify k into k 3.967 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.967 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.967 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.968 * [taylor]: Taking taylor expansion of 2.0 in n 3.968 * [backup-simplify]: Simplify 2.0 into 2.0 3.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.968 * [taylor]: Taking taylor expansion of PI in n 3.968 * [backup-simplify]: Simplify PI into PI 3.968 * [taylor]: Taking taylor expansion of n in n 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ PI 1) into PI 3.969 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.970 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.970 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.970 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.970 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 3.972 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.973 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.975 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 3.975 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.975 * [taylor]: Taking taylor expansion of k in n 3.975 * [backup-simplify]: Simplify k into k 3.975 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 3.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 3.975 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 3.975 * [taylor]: Taking taylor expansion of 1.0 in k 3.975 * [backup-simplify]: Simplify 1.0 into 1.0 3.975 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 3.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.975 * [taylor]: Taking taylor expansion of 0.5 in k 3.975 * [backup-simplify]: Simplify 0.5 into 0.5 3.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.975 * [taylor]: Taking taylor expansion of 1.0 in k 3.975 * [backup-simplify]: Simplify 1.0 into 1.0 3.975 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.976 * [taylor]: Taking taylor expansion of k in k 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.976 * [taylor]: Taking taylor expansion of 2.0 in k 3.976 * [backup-simplify]: Simplify 2.0 into 2.0 3.976 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.976 * [taylor]: Taking taylor expansion of PI in k 3.976 * [backup-simplify]: Simplify PI into PI 3.976 * [taylor]: Taking taylor expansion of n in k 3.976 * [backup-simplify]: Simplify n into n 3.976 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.977 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.977 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.977 * [backup-simplify]: Simplify (- 1) into -1 3.978 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.978 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.978 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.978 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.978 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.978 * [taylor]: Taking taylor expansion of k in k 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.979 * [backup-simplify]: Simplify (sqrt 0) into 0 3.980 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.981 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 3.981 * [taylor]: Taking taylor expansion of 1.0 in k 3.981 * [backup-simplify]: Simplify 1.0 into 1.0 3.981 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 3.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.981 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.981 * [taylor]: Taking taylor expansion of 0.5 in k 3.981 * [backup-simplify]: Simplify 0.5 into 0.5 3.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.981 * [taylor]: Taking taylor expansion of 1.0 in k 3.981 * [backup-simplify]: Simplify 1.0 into 1.0 3.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.981 * [taylor]: Taking taylor expansion of k in k 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [backup-simplify]: Simplify (/ 1 1) into 1 3.982 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.982 * [taylor]: Taking taylor expansion of 2.0 in k 3.982 * [backup-simplify]: Simplify 2.0 into 2.0 3.982 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.982 * [taylor]: Taking taylor expansion of PI in k 3.982 * [backup-simplify]: Simplify PI into PI 3.982 * [taylor]: Taking taylor expansion of n in k 3.982 * [backup-simplify]: Simplify n into n 3.982 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 3.982 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 3.982 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 3.983 * [backup-simplify]: Simplify (- 1) into -1 3.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.984 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 3.984 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 3.984 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 3.984 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.984 * [taylor]: Taking taylor expansion of k in k 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.985 * [backup-simplify]: Simplify (sqrt 0) into 0 3.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.987 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 3.987 * [backup-simplify]: Simplify (* 1.0 0) into 0 3.987 * [taylor]: Taking taylor expansion of 0 in n 3.987 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.989 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 3.989 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 3.989 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 3.989 * [taylor]: Taking taylor expansion of +nan.0 in n 3.989 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 3.989 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 3.989 * [taylor]: Taking taylor expansion of 0.5 in n 3.989 * [backup-simplify]: Simplify 0.5 into 0.5 3.989 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 3.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.990 * [taylor]: Taking taylor expansion of 1.0 in n 3.990 * [backup-simplify]: Simplify 1.0 into 1.0 3.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.990 * [taylor]: Taking taylor expansion of k in n 3.990 * [backup-simplify]: Simplify k into k 3.990 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 3.990 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.990 * [taylor]: Taking taylor expansion of 2.0 in n 3.990 * [backup-simplify]: Simplify 2.0 into 2.0 3.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.990 * [taylor]: Taking taylor expansion of PI in n 3.990 * [backup-simplify]: Simplify PI into PI 3.990 * [taylor]: Taking taylor expansion of n in n 3.990 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify 1 into 1 3.991 * [backup-simplify]: Simplify (/ PI 1) into PI 3.991 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 3.992 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 3.992 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 3.993 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 3.994 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 3.995 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 3.997 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 3.998 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.000 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.001 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.003 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.003 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.007 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.008 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.008 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 4.008 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 4.008 * [taylor]: Taking taylor expansion of +nan.0 in n 4.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.008 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 4.008 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 4.008 * [taylor]: Taking taylor expansion of 0.5 in n 4.008 * [backup-simplify]: Simplify 0.5 into 0.5 4.008 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 4.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.008 * [taylor]: Taking taylor expansion of 1.0 in n 4.008 * [backup-simplify]: Simplify 1.0 into 1.0 4.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.008 * [taylor]: Taking taylor expansion of k in n 4.009 * [backup-simplify]: Simplify k into k 4.009 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.009 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.009 * [taylor]: Taking taylor expansion of 2.0 in n 4.009 * [backup-simplify]: Simplify 2.0 into 2.0 4.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.009 * [taylor]: Taking taylor expansion of PI in n 4.009 * [backup-simplify]: Simplify PI into PI 4.009 * [taylor]: Taking taylor expansion of n in n 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.009 * [backup-simplify]: Simplify (/ PI 1) into PI 4.010 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.011 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.011 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.011 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.014 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 4.016 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 4.018 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.019 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.021 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.022 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 4.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 4.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.027 * [backup-simplify]: Simplify (- 0) into 0 4.028 * [backup-simplify]: Simplify (+ 0 0) into 0 4.029 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.031 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 4.033 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 4.035 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.037 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 4.037 * [backup-simplify]: Simplify (- 0) into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.047 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.048 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 4.048 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 4.048 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 4.048 * [taylor]: Taking taylor expansion of +nan.0 in n 4.049 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.049 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 4.049 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 4.049 * [taylor]: Taking taylor expansion of 0.5 in n 4.049 * [backup-simplify]: Simplify 0.5 into 0.5 4.049 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 4.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.049 * [taylor]: Taking taylor expansion of 1.0 in n 4.049 * [backup-simplify]: Simplify 1.0 into 1.0 4.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.049 * [taylor]: Taking taylor expansion of k in n 4.049 * [backup-simplify]: Simplify k into k 4.049 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.049 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.049 * [taylor]: Taking taylor expansion of 2.0 in n 4.049 * [backup-simplify]: Simplify 2.0 into 2.0 4.049 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.049 * [taylor]: Taking taylor expansion of PI in n 4.049 * [backup-simplify]: Simplify PI into PI 4.049 * [taylor]: Taking taylor expansion of n in n 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (/ PI 1) into PI 4.050 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 4.052 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 4.052 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 4.052 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 4.053 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 4.055 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 4.056 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 4.057 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 4.057 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 4.058 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.059 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 4.062 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 4.063 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 4.063 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.063 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.063 * [taylor]: Taking taylor expansion of 1.0 in n 4.063 * [backup-simplify]: Simplify 1.0 into 1.0 4.063 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.063 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.063 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.063 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.063 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.063 * [taylor]: Taking taylor expansion of 0.5 in n 4.063 * [backup-simplify]: Simplify 0.5 into 0.5 4.063 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.063 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.063 * [taylor]: Taking taylor expansion of k in n 4.063 * [backup-simplify]: Simplify k into k 4.063 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.063 * [taylor]: Taking taylor expansion of 1.0 in n 4.063 * [backup-simplify]: Simplify 1.0 into 1.0 4.063 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.063 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.063 * [taylor]: Taking taylor expansion of -2.0 in n 4.063 * [backup-simplify]: Simplify -2.0 into -2.0 4.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.063 * [taylor]: Taking taylor expansion of PI in n 4.063 * [backup-simplify]: Simplify PI into PI 4.063 * [taylor]: Taking taylor expansion of n in n 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [backup-simplify]: Simplify (/ PI 1) into PI 4.064 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.064 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.064 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.065 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 4.065 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.066 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.067 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.067 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.067 * [taylor]: Taking taylor expansion of -1 in n 4.067 * [backup-simplify]: Simplify -1 into -1 4.067 * [taylor]: Taking taylor expansion of k in n 4.067 * [backup-simplify]: Simplify k into k 4.067 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 4.067 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 4.067 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 4.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 4.068 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.068 * [taylor]: Taking taylor expansion of 1.0 in k 4.068 * [backup-simplify]: Simplify 1.0 into 1.0 4.068 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.068 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.068 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.068 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.068 * [taylor]: Taking taylor expansion of 0.5 in k 4.068 * [backup-simplify]: Simplify 0.5 into 0.5 4.068 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.068 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.068 * [taylor]: Taking taylor expansion of k in k 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.069 * [taylor]: Taking taylor expansion of 1.0 in k 4.069 * [backup-simplify]: Simplify 1.0 into 1.0 4.069 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.069 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.069 * [taylor]: Taking taylor expansion of -2.0 in k 4.069 * [backup-simplify]: Simplify -2.0 into -2.0 4.069 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.069 * [taylor]: Taking taylor expansion of PI in k 4.069 * [backup-simplify]: Simplify PI into PI 4.069 * [taylor]: Taking taylor expansion of n in k 4.069 * [backup-simplify]: Simplify n into n 4.069 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.069 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.069 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.069 * [backup-simplify]: Simplify (+ 1 0) into 1 4.070 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.070 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.070 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 4.070 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.070 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.070 * [taylor]: Taking taylor expansion of -1 in k 4.070 * [backup-simplify]: Simplify -1 into -1 4.070 * [taylor]: Taking taylor expansion of k in k 4.070 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify 1 into 1 4.070 * [backup-simplify]: Simplify (/ -1 1) into -1 4.070 * [backup-simplify]: Simplify (sqrt 0) into 0 4.071 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.071 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.071 * [taylor]: Taking taylor expansion of 1.0 in k 4.072 * [backup-simplify]: Simplify 1.0 into 1.0 4.072 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.072 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.072 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.072 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.072 * [taylor]: Taking taylor expansion of 0.5 in k 4.072 * [backup-simplify]: Simplify 0.5 into 0.5 4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.072 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.072 * [taylor]: Taking taylor expansion of k in k 4.072 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify 1 into 1 4.072 * [backup-simplify]: Simplify (/ 1 1) into 1 4.072 * [taylor]: Taking taylor expansion of 1.0 in k 4.072 * [backup-simplify]: Simplify 1.0 into 1.0 4.072 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.072 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.072 * [taylor]: Taking taylor expansion of -2.0 in k 4.072 * [backup-simplify]: Simplify -2.0 into -2.0 4.072 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.072 * [taylor]: Taking taylor expansion of PI in k 4.072 * [backup-simplify]: Simplify PI into PI 4.072 * [taylor]: Taking taylor expansion of n in k 4.072 * [backup-simplify]: Simplify n into n 4.072 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 4.072 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 4.072 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 4.073 * [backup-simplify]: Simplify (+ 1 0) into 1 4.073 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.073 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 4.073 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 4.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.073 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.073 * [taylor]: Taking taylor expansion of -1 in k 4.073 * [backup-simplify]: Simplify -1 into -1 4.073 * [taylor]: Taking taylor expansion of k in k 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.074 * [backup-simplify]: Simplify (/ -1 1) into -1 4.074 * [backup-simplify]: Simplify (sqrt 0) into 0 4.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.075 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.075 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 4.075 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.075 * [taylor]: Taking taylor expansion of +nan.0 in n 4.075 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.075 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.075 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.075 * [taylor]: Taking taylor expansion of 0.5 in n 4.075 * [backup-simplify]: Simplify 0.5 into 0.5 4.075 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.075 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.075 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.075 * [taylor]: Taking taylor expansion of -2.0 in n 4.075 * [backup-simplify]: Simplify -2.0 into -2.0 4.075 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.075 * [taylor]: Taking taylor expansion of PI in n 4.075 * [backup-simplify]: Simplify PI into PI 4.075 * [taylor]: Taking taylor expansion of n in n 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (/ PI 1) into PI 4.076 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.077 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.077 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.077 * [taylor]: Taking taylor expansion of k in n 4.077 * [backup-simplify]: Simplify k into k 4.077 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.077 * [taylor]: Taking taylor expansion of 1.0 in n 4.077 * [backup-simplify]: Simplify 1.0 into 1.0 4.078 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.078 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.078 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.079 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.080 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.081 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.082 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.085 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.085 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 4.085 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.085 * [taylor]: Taking taylor expansion of +nan.0 in n 4.085 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.085 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.086 * [taylor]: Taking taylor expansion of 0.5 in n 4.086 * [backup-simplify]: Simplify 0.5 into 0.5 4.086 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.086 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.086 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.086 * [taylor]: Taking taylor expansion of -2.0 in n 4.086 * [backup-simplify]: Simplify -2.0 into -2.0 4.086 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.086 * [taylor]: Taking taylor expansion of PI in n 4.086 * [backup-simplify]: Simplify PI into PI 4.086 * [taylor]: Taking taylor expansion of n in n 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify (/ PI 1) into PI 4.086 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.087 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.087 * [taylor]: Taking taylor expansion of k in n 4.087 * [backup-simplify]: Simplify k into k 4.087 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.087 * [taylor]: Taking taylor expansion of 1.0 in n 4.087 * [backup-simplify]: Simplify 1.0 into 1.0 4.088 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.089 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.090 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.091 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.092 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.094 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.095 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.097 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.098 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 4.099 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 4.102 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 4.104 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 4.108 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.109 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 4.109 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.116 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.117 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 4.117 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 4.117 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 4.117 * [taylor]: Taking taylor expansion of +nan.0 in n 4.117 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 4.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 4.118 * [taylor]: Taking taylor expansion of 0.5 in n 4.118 * [backup-simplify]: Simplify 0.5 into 0.5 4.118 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 4.118 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.118 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.118 * [taylor]: Taking taylor expansion of -2.0 in n 4.118 * [backup-simplify]: Simplify -2.0 into -2.0 4.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.118 * [taylor]: Taking taylor expansion of PI in n 4.118 * [backup-simplify]: Simplify PI into PI 4.118 * [taylor]: Taking taylor expansion of n in n 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ PI 1) into PI 4.119 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 4.120 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 4.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.120 * [taylor]: Taking taylor expansion of k in n 4.120 * [backup-simplify]: Simplify k into k 4.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 4.120 * [taylor]: Taking taylor expansion of 1.0 in n 4.120 * [backup-simplify]: Simplify 1.0 into 1.0 4.122 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 4.122 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 4.124 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 4.125 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 4.126 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 4.128 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 4.129 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.130 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 4.135 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 4.136 * * * [progress]: simplifying candidates 4.140 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 4.148 * * [simplify]: iteration 0: 353 enodes 4.271 * * [simplify]: iteration 1: 975 enodes 4.776 * * [simplify]: iteration 2: 3265 enodes 5.873 * * [simplify]: iteration complete: 5003 enodes 5.873 * * [simplify]: Extracting #0: cost 117 inf + 0 5.875 * * [simplify]: Extracting #1: cost 596 inf + 2 5.882 * * [simplify]: Extracting #2: cost 1008 inf + 4271 5.897 * * [simplify]: Extracting #3: cost 1200 inf + 33936 5.951 * * [simplify]: Extracting #4: cost 816 inf + 166432 6.023 * * [simplify]: Extracting #5: cost 465 inf + 368931 6.092 * * [simplify]: Extracting #6: cost 443 inf + 462195 6.197 * * [simplify]: Extracting #7: cost 181 inf + 659600 6.364 * * [simplify]: Extracting #8: cost 55 inf + 774574 6.526 * * [simplify]: Extracting #9: cost 8 inf + 830419 6.683 * * [simplify]: Extracting #10: cost 0 inf + 837854 6.893 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* 2.0 (* PI n)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 (* PI n)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (cbrt 1.0) (/ (sqrt (sqrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (exp (* 2.0 (* PI n))) (* (* (* 2.0 (* PI n)) (* 2.0 (* PI n))) (* 2.0 (* PI n))) (* (* (* 2.0 (* PI n)) (* 2.0 (* PI n))) (* 2.0 (* PI n))) (* (cbrt (* 2.0 (* PI n))) (cbrt (* 2.0 (* PI n)))) (cbrt (* 2.0 (* PI n))) (* (* (* 2.0 (* PI n)) (* 2.0 (* PI n))) (* 2.0 (* PI n))) (sqrt (* 2.0 (* PI n))) (sqrt (* 2.0 (* PI n))) (* (* (* (cbrt n) (cbrt n)) 2.0) PI) (* (* 2.0 PI) (sqrt n)) (* PI 2.0) (* PI n) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (log (* 2.0 (* PI n)))) (log (/ 1.0 (sqrt k)))) (exp (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (* (cbrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (sqrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* 1.0 (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1.0) (sqrt k)) (/ 1.0 (sqrt k)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) (* 2.0 2))) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1.0)) (sqrt (cbrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (cbrt (sqrt k)))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* 1.0 (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt k)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1.0) (- (+ (+ (+ (* (* (log (* PI 2.0)) (exp (* (log (* 2.0 (* PI n))) 0.5))) (* (* (log n) (* k k)) 0.25)) (* (* 0.125 (* (log n) (* (log n) (* k k)))) (exp (* (log (* 2.0 (* PI n))) 0.5)))) (* (* (* (* (log (* PI 2.0)) (log (* PI 2.0))) 0.125) (* k k)) (exp (* (log (* 2.0 (* PI n))) 0.5)))) (exp (* (log (* 2.0 (* PI n))) 0.5))) (* (* k (+ (* (exp (* (log (* 2.0 (* PI n))) 0.5)) (log n)) (* (log (* PI 2.0)) (exp (* (log (* 2.0 (* PI n))) 0.5))))) 0.5)) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* PI n)))))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (+ (* (- +nan.0) (* k k)) (- +nan.0 (* +nan.0 k))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ +nan.0 (* (* k k) k)))) (+ (/ (- +nan.0) (* k k)) (- (/ +nan.0 k) +nan.0)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (+ (* (- (* +nan.0 k)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (+ (- (* (* +nan.0 (* k k)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (* (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (* (log n) (* k k))) +nan.0)) (- (* +nan.0 (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (* (* (log (* PI 2.0)) k) (* (log (* PI 2.0)) k)))) (+ (- (* +nan.0 (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (* (* k k) (* (log n) (log (* PI 2.0)))))) (* +nan.0 (* (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (log (* PI 2.0))) k))) (- (* (* +nan.0 (* k (log n))) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (- (* (* (* +nan.0 (* k k)) (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5)) (log (* PI 2.0))) (* (pow (* (* (pow n 1.0) (pow 2.0 1.0)) (pow PI 1.0)) 0.5) (* +nan.0 (* (* k (log n)) (* k (log n)))))))))))) (+ (- (/ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* PI n))))))) (* k k))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* PI n)))))) k)) (* (/ (- +nan.0) (* k k)) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* PI n)))))) k)))) (+ (* +nan.0 (- (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))))) (* +nan.0 (+ (- (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* k k))) (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) k)))) 6.905 * * * [progress]: adding candidates to table 7.847 * * [progress]: iteration 2 / 4 7.847 * * * [progress]: picking best candidate 7.903 * * * * [pick]: Picked # 7.904 * * * [progress]: localizing error 7.950 * * * [progress]: generating rewritten candidates 7.951 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.011 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.015 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.042 * * * [progress]: generating series expansions 8.042 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.043 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 8.043 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 8.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 8.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.043 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.043 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 8.043 * [taylor]: Taking taylor expansion of 0.25 in k 8.043 * [backup-simplify]: Simplify 0.25 into 0.25 8.043 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.043 * [taylor]: Taking taylor expansion of 1.0 in k 8.044 * [backup-simplify]: Simplify 1.0 into 1.0 8.044 * [taylor]: Taking taylor expansion of k in k 8.044 * [backup-simplify]: Simplify 0 into 0 8.044 * [backup-simplify]: Simplify 1 into 1 8.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.044 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.044 * [taylor]: Taking taylor expansion of 2.0 in k 8.044 * [backup-simplify]: Simplify 2.0 into 2.0 8.044 * [taylor]: Taking taylor expansion of (* n PI) in k 8.044 * [taylor]: Taking taylor expansion of n in k 8.044 * [backup-simplify]: Simplify n into n 8.044 * [taylor]: Taking taylor expansion of PI in k 8.044 * [backup-simplify]: Simplify PI into PI 8.044 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.044 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.044 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.045 * [backup-simplify]: Simplify (- 0) into 0 8.045 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.046 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 8.046 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 8.046 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 8.046 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.046 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.046 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.046 * [taylor]: Taking taylor expansion of 0.25 in n 8.046 * [backup-simplify]: Simplify 0.25 into 0.25 8.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.046 * [taylor]: Taking taylor expansion of 1.0 in n 8.046 * [backup-simplify]: Simplify 1.0 into 1.0 8.046 * [taylor]: Taking taylor expansion of k in n 8.046 * [backup-simplify]: Simplify k into k 8.046 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.046 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.046 * [taylor]: Taking taylor expansion of 2.0 in n 8.046 * [backup-simplify]: Simplify 2.0 into 2.0 8.046 * [taylor]: Taking taylor expansion of (* n PI) in n 8.046 * [taylor]: Taking taylor expansion of n in n 8.047 * [backup-simplify]: Simplify 0 into 0 8.047 * [backup-simplify]: Simplify 1 into 1 8.047 * [taylor]: Taking taylor expansion of PI in n 8.047 * [backup-simplify]: Simplify PI into PI 8.047 * [backup-simplify]: Simplify (* 0 PI) into 0 8.048 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.050 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.050 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.050 * [backup-simplify]: Simplify (- k) into (- k) 8.050 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.050 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.051 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.052 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.053 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.053 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.053 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.053 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.053 * [taylor]: Taking taylor expansion of 0.25 in n 8.053 * [backup-simplify]: Simplify 0.25 into 0.25 8.053 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.053 * [taylor]: Taking taylor expansion of 1.0 in n 8.053 * [backup-simplify]: Simplify 1.0 into 1.0 8.053 * [taylor]: Taking taylor expansion of k in n 8.053 * [backup-simplify]: Simplify k into k 8.053 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.053 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.053 * [taylor]: Taking taylor expansion of 2.0 in n 8.053 * [backup-simplify]: Simplify 2.0 into 2.0 8.053 * [taylor]: Taking taylor expansion of (* n PI) in n 8.053 * [taylor]: Taking taylor expansion of n in n 8.053 * [backup-simplify]: Simplify 0 into 0 8.053 * [backup-simplify]: Simplify 1 into 1 8.053 * [taylor]: Taking taylor expansion of PI in n 8.053 * [backup-simplify]: Simplify PI into PI 8.053 * [backup-simplify]: Simplify (* 0 PI) into 0 8.054 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.056 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.056 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.056 * [backup-simplify]: Simplify (- k) into (- k) 8.056 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.056 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.057 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.058 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.059 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.059 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.059 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.059 * [taylor]: Taking taylor expansion of 0.25 in k 8.059 * [backup-simplify]: Simplify 0.25 into 0.25 8.059 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.059 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.059 * [taylor]: Taking taylor expansion of 1.0 in k 8.059 * [backup-simplify]: Simplify 1.0 into 1.0 8.059 * [taylor]: Taking taylor expansion of k in k 8.059 * [backup-simplify]: Simplify 0 into 0 8.059 * [backup-simplify]: Simplify 1 into 1 8.059 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.059 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.059 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.059 * [taylor]: Taking taylor expansion of 2.0 in k 8.059 * [backup-simplify]: Simplify 2.0 into 2.0 8.059 * [taylor]: Taking taylor expansion of PI in k 8.059 * [backup-simplify]: Simplify PI into PI 8.059 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.060 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.060 * [taylor]: Taking taylor expansion of (log n) in k 8.060 * [taylor]: Taking taylor expansion of n in k 8.060 * [backup-simplify]: Simplify n into n 8.060 * [backup-simplify]: Simplify (log n) into (log n) 8.060 * [backup-simplify]: Simplify (- 0) into 0 8.061 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.061 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.062 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.063 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 8.063 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.064 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.065 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.067 * [backup-simplify]: Simplify (- 0) into 0 8.067 * [backup-simplify]: Simplify (+ 0 0) into 0 8.067 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 8.068 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.069 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.075 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.075 * [taylor]: Taking taylor expansion of 0 in k 8.076 * [backup-simplify]: Simplify 0 into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.078 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.080 * [backup-simplify]: Simplify (+ 0 0) into 0 8.080 * [backup-simplify]: Simplify (- 1) into -1 8.081 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.084 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 8.088 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 8.091 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 8.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.093 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.097 * [backup-simplify]: Simplify (- 0) into 0 8.097 * [backup-simplify]: Simplify (+ 0 0) into 0 8.098 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.100 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.102 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.104 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.104 * [taylor]: Taking taylor expansion of 0 in k 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.109 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.111 * [backup-simplify]: Simplify (+ 0 0) into 0 8.111 * [backup-simplify]: Simplify (- 0) into 0 8.112 * [backup-simplify]: Simplify (+ 0 0) into 0 8.114 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.121 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.126 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.137 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 8.138 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 8.138 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 8.138 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 8.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.138 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.138 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 8.138 * [taylor]: Taking taylor expansion of 0.25 in k 8.138 * [backup-simplify]: Simplify 0.25 into 0.25 8.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.138 * [taylor]: Taking taylor expansion of 1.0 in k 8.138 * [backup-simplify]: Simplify 1.0 into 1.0 8.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.138 * [taylor]: Taking taylor expansion of k in k 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.138 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.138 * [taylor]: Taking taylor expansion of 2.0 in k 8.139 * [backup-simplify]: Simplify 2.0 into 2.0 8.139 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.139 * [taylor]: Taking taylor expansion of PI in k 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of n in k 8.139 * [backup-simplify]: Simplify n into n 8.139 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.139 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.139 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.139 * [backup-simplify]: Simplify (- 1) into -1 8.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.140 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 8.140 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 8.141 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 8.141 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.141 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.141 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.141 * [taylor]: Taking taylor expansion of 0.25 in n 8.141 * [backup-simplify]: Simplify 0.25 into 0.25 8.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.141 * [taylor]: Taking taylor expansion of 1.0 in n 8.141 * [backup-simplify]: Simplify 1.0 into 1.0 8.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.141 * [taylor]: Taking taylor expansion of k in n 8.141 * [backup-simplify]: Simplify k into k 8.141 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.141 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.141 * [taylor]: Taking taylor expansion of 2.0 in n 8.141 * [backup-simplify]: Simplify 2.0 into 2.0 8.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.141 * [taylor]: Taking taylor expansion of PI in n 8.141 * [backup-simplify]: Simplify PI into PI 8.141 * [taylor]: Taking taylor expansion of n in n 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (/ PI 1) into PI 8.142 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.143 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.143 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.143 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.144 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.145 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.146 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.147 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.148 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.148 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.148 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.148 * [taylor]: Taking taylor expansion of 0.25 in n 8.148 * [backup-simplify]: Simplify 0.25 into 0.25 8.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.148 * [taylor]: Taking taylor expansion of 1.0 in n 8.148 * [backup-simplify]: Simplify 1.0 into 1.0 8.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.148 * [taylor]: Taking taylor expansion of k in n 8.148 * [backup-simplify]: Simplify k into k 8.148 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.148 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.148 * [taylor]: Taking taylor expansion of 2.0 in n 8.148 * [backup-simplify]: Simplify 2.0 into 2.0 8.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.148 * [taylor]: Taking taylor expansion of PI in n 8.148 * [backup-simplify]: Simplify PI into PI 8.148 * [taylor]: Taking taylor expansion of n in n 8.148 * [backup-simplify]: Simplify 0 into 0 8.148 * [backup-simplify]: Simplify 1 into 1 8.148 * [backup-simplify]: Simplify (/ PI 1) into PI 8.149 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.149 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.149 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.149 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.149 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.151 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.152 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.152 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 8.152 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 8.152 * [taylor]: Taking taylor expansion of 0.25 in k 8.152 * [backup-simplify]: Simplify 0.25 into 0.25 8.152 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 8.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.152 * [taylor]: Taking taylor expansion of 1.0 in k 8.152 * [backup-simplify]: Simplify 1.0 into 1.0 8.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.152 * [taylor]: Taking taylor expansion of k in k 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify 1 into 1 8.152 * [backup-simplify]: Simplify (/ 1 1) into 1 8.152 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.153 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.153 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.153 * [taylor]: Taking taylor expansion of 2.0 in k 8.153 * [backup-simplify]: Simplify 2.0 into 2.0 8.153 * [taylor]: Taking taylor expansion of PI in k 8.153 * [backup-simplify]: Simplify PI into PI 8.153 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.154 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.154 * [taylor]: Taking taylor expansion of (log n) in k 8.154 * [taylor]: Taking taylor expansion of n in k 8.154 * [backup-simplify]: Simplify n into n 8.154 * [backup-simplify]: Simplify (log n) into (log n) 8.154 * [backup-simplify]: Simplify (- 1) into -1 8.154 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.154 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.155 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.155 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.156 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 8.157 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.158 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.159 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.160 * [backup-simplify]: Simplify (- 0) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.161 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.162 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.162 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.163 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.163 * [taylor]: Taking taylor expansion of 0 in k 8.163 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify 0 into 0 8.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.167 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.167 * [backup-simplify]: Simplify (- 0) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.169 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.170 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.171 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.171 * [taylor]: Taking taylor expansion of 0 in k 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 0 into 0 8.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.176 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.177 * [backup-simplify]: Simplify (- 0) into 0 8.177 * [backup-simplify]: Simplify (+ 0 0) into 0 8.179 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.180 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.182 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.185 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.185 * [taylor]: Taking taylor expansion of 0 in k 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 8.187 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 8.187 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 8.187 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 8.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.187 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.187 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 8.187 * [taylor]: Taking taylor expansion of 0.25 in k 8.187 * [backup-simplify]: Simplify 0.25 into 0.25 8.187 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.187 * [taylor]: Taking taylor expansion of k in k 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.188 * [backup-simplify]: Simplify (/ 1 1) into 1 8.188 * [taylor]: Taking taylor expansion of 1.0 in k 8.188 * [backup-simplify]: Simplify 1.0 into 1.0 8.188 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.188 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.188 * [taylor]: Taking taylor expansion of -2.0 in k 8.188 * [backup-simplify]: Simplify -2.0 into -2.0 8.188 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.188 * [taylor]: Taking taylor expansion of PI in k 8.188 * [backup-simplify]: Simplify PI into PI 8.188 * [taylor]: Taking taylor expansion of n in k 8.188 * [backup-simplify]: Simplify n into n 8.188 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.188 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.188 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.189 * [backup-simplify]: Simplify (+ 1 0) into 1 8.189 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.189 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 8.190 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 8.190 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.190 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.190 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.190 * [taylor]: Taking taylor expansion of 0.25 in n 8.190 * [backup-simplify]: Simplify 0.25 into 0.25 8.190 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.190 * [taylor]: Taking taylor expansion of k in n 8.190 * [backup-simplify]: Simplify k into k 8.190 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.190 * [taylor]: Taking taylor expansion of 1.0 in n 8.190 * [backup-simplify]: Simplify 1.0 into 1.0 8.190 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.190 * [taylor]: Taking taylor expansion of -2.0 in n 8.190 * [backup-simplify]: Simplify -2.0 into -2.0 8.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.190 * [taylor]: Taking taylor expansion of PI in n 8.190 * [backup-simplify]: Simplify PI into PI 8.190 * [taylor]: Taking taylor expansion of n in n 8.190 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify 1 into 1 8.191 * [backup-simplify]: Simplify (/ PI 1) into PI 8.191 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.192 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.193 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.193 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.194 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.195 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.197 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.197 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.197 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.197 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.197 * [taylor]: Taking taylor expansion of 0.25 in n 8.197 * [backup-simplify]: Simplify 0.25 into 0.25 8.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.197 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.197 * [taylor]: Taking taylor expansion of k in n 8.197 * [backup-simplify]: Simplify k into k 8.197 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.197 * [taylor]: Taking taylor expansion of 1.0 in n 8.197 * [backup-simplify]: Simplify 1.0 into 1.0 8.197 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.197 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.197 * [taylor]: Taking taylor expansion of -2.0 in n 8.197 * [backup-simplify]: Simplify -2.0 into -2.0 8.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.197 * [taylor]: Taking taylor expansion of PI in n 8.197 * [backup-simplify]: Simplify PI into PI 8.197 * [taylor]: Taking taylor expansion of n in n 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ PI 1) into PI 8.198 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.206 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.206 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.206 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.208 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.209 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.210 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.210 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 8.210 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 8.210 * [taylor]: Taking taylor expansion of 0.25 in k 8.210 * [backup-simplify]: Simplify 0.25 into 0.25 8.210 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 8.210 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.210 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.210 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.211 * [taylor]: Taking taylor expansion of -2.0 in k 8.211 * [backup-simplify]: Simplify -2.0 into -2.0 8.211 * [taylor]: Taking taylor expansion of PI in k 8.211 * [backup-simplify]: Simplify PI into PI 8.211 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.212 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.212 * [taylor]: Taking taylor expansion of (log n) in k 8.212 * [taylor]: Taking taylor expansion of n in k 8.212 * [backup-simplify]: Simplify n into n 8.212 * [backup-simplify]: Simplify (log n) into (log n) 8.212 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.212 * [taylor]: Taking taylor expansion of k in k 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 1 into 1 8.213 * [backup-simplify]: Simplify (/ 1 1) into 1 8.213 * [taylor]: Taking taylor expansion of 1.0 in k 8.213 * [backup-simplify]: Simplify 1.0 into 1.0 8.213 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.214 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.215 * [backup-simplify]: Simplify (+ 1 0) into 1 8.216 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 8.217 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 8.218 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.220 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.224 * [backup-simplify]: Simplify (+ 0 0) into 0 8.224 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.226 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.227 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.229 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.229 * [taylor]: Taking taylor expansion of 0 in k 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.236 * [backup-simplify]: Simplify (+ 0 0) into 0 8.237 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.238 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.240 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.242 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.242 * [taylor]: Taking taylor expansion of 0 in k 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.245 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.251 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.252 * [backup-simplify]: Simplify (+ 0 0) into 0 8.253 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.254 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.256 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.259 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.259 * [taylor]: Taking taylor expansion of 0 in k 8.259 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.262 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) into (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 8.262 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 8.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 8.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.262 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.262 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 8.262 * [taylor]: Taking taylor expansion of 0.25 in k 8.262 * [backup-simplify]: Simplify 0.25 into 0.25 8.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.262 * [taylor]: Taking taylor expansion of 1.0 in k 8.262 * [backup-simplify]: Simplify 1.0 into 1.0 8.262 * [taylor]: Taking taylor expansion of k in k 8.262 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify 1 into 1 8.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.262 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.262 * [taylor]: Taking taylor expansion of 2.0 in k 8.262 * [backup-simplify]: Simplify 2.0 into 2.0 8.262 * [taylor]: Taking taylor expansion of (* n PI) in k 8.262 * [taylor]: Taking taylor expansion of n in k 8.262 * [backup-simplify]: Simplify n into n 8.262 * [taylor]: Taking taylor expansion of PI in k 8.262 * [backup-simplify]: Simplify PI into PI 8.262 * [backup-simplify]: Simplify (* n PI) into (* n PI) 8.262 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 8.263 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 8.263 * [backup-simplify]: Simplify (- 0) into 0 8.263 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.264 * [backup-simplify]: Simplify (* 0.25 1.0) into 0.25 8.264 * [backup-simplify]: Simplify (* 0.25 (log (* 2.0 (* n PI)))) into (* 0.25 (log (* 2.0 (* n PI)))) 8.264 * [backup-simplify]: Simplify (exp (* 0.25 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.25) 8.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.264 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.264 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.264 * [taylor]: Taking taylor expansion of 0.25 in n 8.264 * [backup-simplify]: Simplify 0.25 into 0.25 8.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.264 * [taylor]: Taking taylor expansion of 1.0 in n 8.264 * [backup-simplify]: Simplify 1.0 into 1.0 8.264 * [taylor]: Taking taylor expansion of k in n 8.264 * [backup-simplify]: Simplify k into k 8.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.265 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.265 * [taylor]: Taking taylor expansion of 2.0 in n 8.265 * [backup-simplify]: Simplify 2.0 into 2.0 8.265 * [taylor]: Taking taylor expansion of (* n PI) in n 8.265 * [taylor]: Taking taylor expansion of n in n 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [taylor]: Taking taylor expansion of PI in n 8.265 * [backup-simplify]: Simplify PI into PI 8.265 * [backup-simplify]: Simplify (* 0 PI) into 0 8.266 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.269 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.270 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.270 * [backup-simplify]: Simplify (- k) into (- k) 8.270 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.270 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.273 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.274 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 8.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.274 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.274 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 8.274 * [taylor]: Taking taylor expansion of 0.25 in n 8.274 * [backup-simplify]: Simplify 0.25 into 0.25 8.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.274 * [taylor]: Taking taylor expansion of 1.0 in n 8.274 * [backup-simplify]: Simplify 1.0 into 1.0 8.274 * [taylor]: Taking taylor expansion of k in n 8.274 * [backup-simplify]: Simplify k into k 8.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.274 * [taylor]: Taking taylor expansion of 2.0 in n 8.274 * [backup-simplify]: Simplify 2.0 into 2.0 8.274 * [taylor]: Taking taylor expansion of (* n PI) in n 8.275 * [taylor]: Taking taylor expansion of n in n 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 1 into 1 8.275 * [taylor]: Taking taylor expansion of PI in n 8.275 * [backup-simplify]: Simplify PI into PI 8.275 * [backup-simplify]: Simplify (* 0 PI) into 0 8.276 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.277 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.279 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.280 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.280 * [backup-simplify]: Simplify (- k) into (- k) 8.280 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 8.280 * [backup-simplify]: Simplify (* 0.25 (- 1.0 k)) into (* 0.25 (- 1.0 k)) 8.282 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.283 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 8.284 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 8.284 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.284 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.284 * [taylor]: Taking taylor expansion of 0.25 in k 8.284 * [backup-simplify]: Simplify 0.25 into 0.25 8.284 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.284 * [taylor]: Taking taylor expansion of 1.0 in k 8.284 * [backup-simplify]: Simplify 1.0 into 1.0 8.284 * [taylor]: Taking taylor expansion of k in k 8.285 * [backup-simplify]: Simplify 0 into 0 8.285 * [backup-simplify]: Simplify 1 into 1 8.285 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.285 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.285 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.285 * [taylor]: Taking taylor expansion of 2.0 in k 8.285 * [backup-simplify]: Simplify 2.0 into 2.0 8.285 * [taylor]: Taking taylor expansion of PI in k 8.285 * [backup-simplify]: Simplify PI into PI 8.285 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.286 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.286 * [taylor]: Taking taylor expansion of (log n) in k 8.286 * [taylor]: Taking taylor expansion of n in k 8.286 * [backup-simplify]: Simplify n into n 8.286 * [backup-simplify]: Simplify (log n) into (log n) 8.287 * [backup-simplify]: Simplify (- 0) into 0 8.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.288 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 8.290 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 8.291 * [backup-simplify]: Simplify (* 0.25 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.25 (+ (log (* 2.0 PI)) (log n))) 8.292 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.293 * [backup-simplify]: Simplify (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 8.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.297 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.297 * [backup-simplify]: Simplify (- 0) into 0 8.298 * [backup-simplify]: Simplify (+ 0 0) into 0 8.298 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 k))) into 0 8.300 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.301 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 8.303 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.303 * [taylor]: Taking taylor expansion of 0 in k 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.306 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 8.307 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [backup-simplify]: Simplify (- 1) into -1 8.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 8.311 * [backup-simplify]: Simplify (+ (* 0.25 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 8.313 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 1) 1)))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 8.315 * [backup-simplify]: Simplify (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) into (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) 8.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.319 * [backup-simplify]: Simplify (- 0) into 0 8.319 * [backup-simplify]: Simplify (+ 0 0) into 0 8.320 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 8.320 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 8.321 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.323 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.323 * [taylor]: Taking taylor expansion of 0 in k 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.325 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.326 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (- 0) into 0 8.327 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 8.333 * [backup-simplify]: Simplify (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.343 * [backup-simplify]: Simplify (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) into (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) 8.353 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.03125 (pow (log n) 2)) (+ (* 0.03125 (pow (log (* 2.0 PI)) 2)) (* 0.0625 (* (log (* 2.0 PI)) (log n))))) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.25 (log (* 2.0 PI))) (* 0.25 (log n))))) (* k 1)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) 8.354 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (/ (- 1.0 (/ 1 k)) 2.0) 2)) into (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 8.354 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 8.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 8.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.354 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.354 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 8.354 * [taylor]: Taking taylor expansion of 0.25 in k 8.354 * [backup-simplify]: Simplify 0.25 into 0.25 8.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.354 * [taylor]: Taking taylor expansion of 1.0 in k 8.354 * [backup-simplify]: Simplify 1.0 into 1.0 8.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.354 * [taylor]: Taking taylor expansion of k in k 8.354 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify 1 into 1 8.355 * [backup-simplify]: Simplify (/ 1 1) into 1 8.355 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.355 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.355 * [taylor]: Taking taylor expansion of 2.0 in k 8.355 * [backup-simplify]: Simplify 2.0 into 2.0 8.355 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.355 * [taylor]: Taking taylor expansion of PI in k 8.355 * [backup-simplify]: Simplify PI into PI 8.355 * [taylor]: Taking taylor expansion of n in k 8.355 * [backup-simplify]: Simplify n into n 8.355 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.355 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 8.355 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 8.355 * [backup-simplify]: Simplify (- 1) into -1 8.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.356 * [backup-simplify]: Simplify (* 0.25 -1) into -0.25 8.356 * [backup-simplify]: Simplify (* -0.25 (log (* 2.0 (/ PI n)))) into (* -0.25 (log (* 2.0 (/ PI n)))) 8.356 * [backup-simplify]: Simplify (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 8.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.356 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.356 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.357 * [taylor]: Taking taylor expansion of 0.25 in n 8.357 * [backup-simplify]: Simplify 0.25 into 0.25 8.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.357 * [taylor]: Taking taylor expansion of 1.0 in n 8.357 * [backup-simplify]: Simplify 1.0 into 1.0 8.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.357 * [taylor]: Taking taylor expansion of k in n 8.357 * [backup-simplify]: Simplify k into k 8.357 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.357 * [taylor]: Taking taylor expansion of 2.0 in n 8.357 * [backup-simplify]: Simplify 2.0 into 2.0 8.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.357 * [taylor]: Taking taylor expansion of PI in n 8.357 * [backup-simplify]: Simplify PI into PI 8.357 * [taylor]: Taking taylor expansion of n in n 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 1 into 1 8.357 * [backup-simplify]: Simplify (/ PI 1) into PI 8.357 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.358 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.358 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.358 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.358 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.359 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.360 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.361 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 8.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.361 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.361 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 8.361 * [taylor]: Taking taylor expansion of 0.25 in n 8.361 * [backup-simplify]: Simplify 0.25 into 0.25 8.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.361 * [taylor]: Taking taylor expansion of 1.0 in n 8.361 * [backup-simplify]: Simplify 1.0 into 1.0 8.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.361 * [taylor]: Taking taylor expansion of k in n 8.361 * [backup-simplify]: Simplify k into k 8.361 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.361 * [taylor]: Taking taylor expansion of 2.0 in n 8.361 * [backup-simplify]: Simplify 2.0 into 2.0 8.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.361 * [taylor]: Taking taylor expansion of PI in n 8.361 * [backup-simplify]: Simplify PI into PI 8.361 * [taylor]: Taking taylor expansion of n in n 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.361 * [backup-simplify]: Simplify (/ PI 1) into PI 8.362 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.362 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.362 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 8.362 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 8.362 * [backup-simplify]: Simplify (* 0.25 (- 1.0 (/ 1 k))) into (* 0.25 (- 1.0 (/ 1 k))) 8.363 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.364 * [backup-simplify]: Simplify (* (* 0.25 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 8.365 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.365 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 8.365 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 8.365 * [taylor]: Taking taylor expansion of 0.25 in k 8.365 * [backup-simplify]: Simplify 0.25 into 0.25 8.365 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 8.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.365 * [taylor]: Taking taylor expansion of 1.0 in k 8.365 * [backup-simplify]: Simplify 1.0 into 1.0 8.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.365 * [taylor]: Taking taylor expansion of k in k 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.365 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.365 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.365 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.365 * [taylor]: Taking taylor expansion of 2.0 in k 8.365 * [backup-simplify]: Simplify 2.0 into 2.0 8.365 * [taylor]: Taking taylor expansion of PI in k 8.365 * [backup-simplify]: Simplify PI into PI 8.366 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.366 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 8.366 * [taylor]: Taking taylor expansion of (log n) in k 8.366 * [taylor]: Taking taylor expansion of n in k 8.366 * [backup-simplify]: Simplify n into n 8.367 * [backup-simplify]: Simplify (log n) into (log n) 8.367 * [backup-simplify]: Simplify (- 1) into -1 8.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.367 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.368 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 8.368 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 8.369 * [backup-simplify]: Simplify (* 0.25 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.25 (- (log (* 2.0 PI)) (log n))) 8.370 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.371 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 8.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.373 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.373 * [backup-simplify]: Simplify (- 0) into 0 8.373 * [backup-simplify]: Simplify (+ 0 0) into 0 8.374 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (- 1.0 (/ 1 k)))) into 0 8.374 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.375 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 8.376 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 8.376 * [taylor]: Taking taylor expansion of 0 in k 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 8.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.380 * [backup-simplify]: Simplify (- 0) into 0 8.380 * [backup-simplify]: Simplify (+ 0 0) into 0 8.381 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 8.382 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.383 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 8.385 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.385 * [taylor]: Taking taylor expansion of 0 in k 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.387 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.394 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 8.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.395 * [backup-simplify]: Simplify (- 0) into 0 8.395 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 8.398 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 8.400 * [backup-simplify]: Simplify (+ (* (* 0.25 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 8.402 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.402 * [taylor]: Taking taylor expansion of 0 in k 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify (exp (* 0.25 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 8.405 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (/ (- 1.0 (/ 1 (- k))) 2.0) 2)) into (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 8.405 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 8.405 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 8.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.405 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.405 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 8.405 * [taylor]: Taking taylor expansion of 0.25 in k 8.405 * [backup-simplify]: Simplify 0.25 into 0.25 8.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.405 * [taylor]: Taking taylor expansion of k in k 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [backup-simplify]: Simplify (/ 1 1) into 1 8.405 * [taylor]: Taking taylor expansion of 1.0 in k 8.405 * [backup-simplify]: Simplify 1.0 into 1.0 8.405 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.405 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.406 * [taylor]: Taking taylor expansion of -2.0 in k 8.406 * [backup-simplify]: Simplify -2.0 into -2.0 8.406 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.406 * [taylor]: Taking taylor expansion of PI in k 8.406 * [backup-simplify]: Simplify PI into PI 8.406 * [taylor]: Taking taylor expansion of n in k 8.406 * [backup-simplify]: Simplify n into n 8.406 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 8.406 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 8.406 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 8.406 * [backup-simplify]: Simplify (+ 1 0) into 1 8.407 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 8.407 * [backup-simplify]: Simplify (* 0.25 (log (* -2.0 (/ PI n)))) into (* 0.25 (log (* -2.0 (/ PI n)))) 8.407 * [backup-simplify]: Simplify (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.25 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 8.407 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.407 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.407 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.407 * [taylor]: Taking taylor expansion of 0.25 in n 8.407 * [backup-simplify]: Simplify 0.25 into 0.25 8.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.407 * [taylor]: Taking taylor expansion of k in n 8.407 * [backup-simplify]: Simplify k into k 8.407 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.407 * [taylor]: Taking taylor expansion of 1.0 in n 8.408 * [backup-simplify]: Simplify 1.0 into 1.0 8.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.408 * [taylor]: Taking taylor expansion of -2.0 in n 8.408 * [backup-simplify]: Simplify -2.0 into -2.0 8.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.408 * [taylor]: Taking taylor expansion of PI in n 8.408 * [backup-simplify]: Simplify PI into PI 8.408 * [taylor]: Taking taylor expansion of n in n 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [backup-simplify]: Simplify (/ PI 1) into PI 8.409 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.410 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.410 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.410 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.411 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.413 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.414 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.414 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 8.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.414 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.414 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 8.414 * [taylor]: Taking taylor expansion of 0.25 in n 8.414 * [backup-simplify]: Simplify 0.25 into 0.25 8.414 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.414 * [taylor]: Taking taylor expansion of k in n 8.414 * [backup-simplify]: Simplify k into k 8.414 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 8.414 * [taylor]: Taking taylor expansion of 1.0 in n 8.414 * [backup-simplify]: Simplify 1.0 into 1.0 8.414 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.414 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.414 * [taylor]: Taking taylor expansion of -2.0 in n 8.414 * [backup-simplify]: Simplify -2.0 into -2.0 8.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.415 * [taylor]: Taking taylor expansion of PI in n 8.415 * [backup-simplify]: Simplify PI into PI 8.415 * [taylor]: Taking taylor expansion of n in n 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 1 into 1 8.415 * [backup-simplify]: Simplify (/ PI 1) into PI 8.416 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.417 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.417 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 8.417 * [backup-simplify]: Simplify (* 0.25 (+ (/ 1 k) 1.0)) into (* 0.25 (+ (/ 1 k) 1.0)) 8.419 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.420 * [backup-simplify]: Simplify (* (* 0.25 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 8.421 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.421 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 8.421 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 8.421 * [taylor]: Taking taylor expansion of 0.25 in k 8.421 * [backup-simplify]: Simplify 0.25 into 0.25 8.421 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 8.421 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.421 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.421 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.421 * [taylor]: Taking taylor expansion of -2.0 in k 8.421 * [backup-simplify]: Simplify -2.0 into -2.0 8.421 * [taylor]: Taking taylor expansion of PI in k 8.421 * [backup-simplify]: Simplify PI into PI 8.421 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.422 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 8.422 * [taylor]: Taking taylor expansion of (log n) in k 8.422 * [taylor]: Taking taylor expansion of n in k 8.422 * [backup-simplify]: Simplify n into n 8.422 * [backup-simplify]: Simplify (log n) into (log n) 8.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.422 * [taylor]: Taking taylor expansion of k in k 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 1 into 1 8.422 * [backup-simplify]: Simplify (/ 1 1) into 1 8.422 * [taylor]: Taking taylor expansion of 1.0 in k 8.422 * [backup-simplify]: Simplify 1.0 into 1.0 8.422 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 8.423 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 8.423 * [backup-simplify]: Simplify (+ 1 0) into 1 8.424 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 8.425 * [backup-simplify]: Simplify (* 0.25 (- (log (* -2.0 PI)) (log n))) into (* 0.25 (- (log (* -2.0 PI)) (log n))) 8.425 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.426 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 8.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.427 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.428 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 8.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 8.428 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [backup-simplify]: Simplify (+ (* 0.25 0) (* 0 (+ (/ 1 k) 1.0))) into 0 8.430 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.431 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 8.432 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 8.432 * [taylor]: Taking taylor expansion of 0 in k 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.435 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 8.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.435 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 8.437 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.438 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 8.439 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 8.439 * [taylor]: Taking taylor expansion of 0 in k 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.441 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.444 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 8.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 8.444 * [backup-simplify]: Simplify (+ 0 0) into 0 8.445 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 8.446 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 8.452 * [backup-simplify]: Simplify (+ (* (* 0.25 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 8.455 * [backup-simplify]: Simplify (* (exp (* 0.25 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 8.455 * [taylor]: Taking taylor expansion of 0 in k 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify (exp (* 0.25 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 8.457 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 8.457 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 8.457 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 8.457 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.457 * [taylor]: Taking taylor expansion of 1.0 in k 8.457 * [backup-simplify]: Simplify 1.0 into 1.0 8.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.457 * [taylor]: Taking taylor expansion of k in k 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.458 * [backup-simplify]: Simplify (/ 1 1) into 1 8.458 * [backup-simplify]: Simplify (sqrt 0) into 0 8.459 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.459 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 8.459 * [taylor]: Taking taylor expansion of 1.0 in k 8.460 * [backup-simplify]: Simplify 1.0 into 1.0 8.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 8.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.460 * [taylor]: Taking taylor expansion of k in k 8.460 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify 1 into 1 8.460 * [backup-simplify]: Simplify (/ 1 1) into 1 8.460 * [backup-simplify]: Simplify (sqrt 0) into 0 8.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.462 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.462 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.470 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.470 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.477 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.477 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.479 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 8.479 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 8.479 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 8.479 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.479 * [taylor]: Taking taylor expansion of 1.0 in k 8.479 * [backup-simplify]: Simplify 1.0 into 1.0 8.479 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.479 * [taylor]: Taking taylor expansion of k in k 8.479 * [backup-simplify]: Simplify 0 into 0 8.479 * [backup-simplify]: Simplify 1 into 1 8.479 * [backup-simplify]: Simplify (sqrt 0) into 0 8.481 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.481 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 8.481 * [taylor]: Taking taylor expansion of 1.0 in k 8.481 * [backup-simplify]: Simplify 1.0 into 1.0 8.481 * [taylor]: Taking taylor expansion of (sqrt k) in k 8.481 * [taylor]: Taking taylor expansion of k in k 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.482 * [backup-simplify]: Simplify (sqrt 0) into 0 8.483 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.483 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.483 * [backup-simplify]: Simplify 0 into 0 8.485 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 8.485 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.488 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.490 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 8.490 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.495 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 8.496 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.497 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 8.497 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 8.497 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 8.497 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.497 * [taylor]: Taking taylor expansion of 1.0 in k 8.497 * [backup-simplify]: Simplify 1.0 into 1.0 8.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.497 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.497 * [taylor]: Taking taylor expansion of -1 in k 8.497 * [backup-simplify]: Simplify -1 into -1 8.497 * [taylor]: Taking taylor expansion of k in k 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ -1 1) into -1 8.498 * [backup-simplify]: Simplify (sqrt 0) into 0 8.498 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.499 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.499 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 8.499 * [taylor]: Taking taylor expansion of 1.0 in k 8.499 * [backup-simplify]: Simplify 1.0 into 1.0 8.499 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 8.499 * [taylor]: Taking taylor expansion of (/ -1 k) in k 8.499 * [taylor]: Taking taylor expansion of -1 in k 8.499 * [backup-simplify]: Simplify -1 into -1 8.499 * [taylor]: Taking taylor expansion of k in k 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 1 into 1 8.499 * [backup-simplify]: Simplify (/ -1 1) into -1 8.499 * [backup-simplify]: Simplify (sqrt 0) into 0 8.500 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.500 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 8.500 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.504 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 8.504 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.510 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 8.510 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.511 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 8.511 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.511 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.511 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.511 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.511 * [taylor]: Taking taylor expansion of 2.0 in n 8.511 * [backup-simplify]: Simplify 2.0 into 2.0 8.511 * [taylor]: Taking taylor expansion of (* n PI) in n 8.511 * [taylor]: Taking taylor expansion of n in n 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [taylor]: Taking taylor expansion of PI in n 8.511 * [backup-simplify]: Simplify PI into PI 8.511 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.511 * [taylor]: Taking taylor expansion of 2.0 in n 8.511 * [backup-simplify]: Simplify 2.0 into 2.0 8.511 * [taylor]: Taking taylor expansion of (* n PI) in n 8.511 * [taylor]: Taking taylor expansion of n in n 8.511 * [backup-simplify]: Simplify 0 into 0 8.511 * [backup-simplify]: Simplify 1 into 1 8.511 * [taylor]: Taking taylor expansion of PI in n 8.511 * [backup-simplify]: Simplify PI into PI 8.512 * [backup-simplify]: Simplify (* 0 PI) into 0 8.512 * [backup-simplify]: Simplify (* 2.0 0) into 0 8.512 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.514 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 8.514 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.516 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.517 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.517 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.520 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.520 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.522 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.525 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.525 * [backup-simplify]: Simplify 0 into 0 8.525 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 8.526 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 8.526 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.526 * [taylor]: Taking taylor expansion of 2.0 in n 8.526 * [backup-simplify]: Simplify 2.0 into 2.0 8.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.526 * [taylor]: Taking taylor expansion of PI in n 8.526 * [backup-simplify]: Simplify PI into PI 8.526 * [taylor]: Taking taylor expansion of n in n 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [backup-simplify]: Simplify (/ PI 1) into PI 8.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.526 * [taylor]: Taking taylor expansion of 2.0 in n 8.526 * [backup-simplify]: Simplify 2.0 into 2.0 8.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.526 * [taylor]: Taking taylor expansion of PI in n 8.526 * [backup-simplify]: Simplify PI into PI 8.526 * [taylor]: Taking taylor expansion of n in n 8.526 * [backup-simplify]: Simplify 0 into 0 8.526 * [backup-simplify]: Simplify 1 into 1 8.526 * [backup-simplify]: Simplify (/ PI 1) into PI 8.527 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.527 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 8.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.528 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 8.528 * [backup-simplify]: Simplify 0 into 0 8.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.529 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.531 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.531 * [backup-simplify]: Simplify 0 into 0 8.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.533 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.533 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.536 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.536 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.538 * [backup-simplify]: Simplify 0 into 0 8.539 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 8.539 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 8.540 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.540 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.540 * [taylor]: Taking taylor expansion of -2.0 in n 8.540 * [backup-simplify]: Simplify -2.0 into -2.0 8.540 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.540 * [taylor]: Taking taylor expansion of PI in n 8.540 * [backup-simplify]: Simplify PI into PI 8.540 * [taylor]: Taking taylor expansion of n in n 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.540 * [backup-simplify]: Simplify (/ PI 1) into PI 8.540 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.540 * [taylor]: Taking taylor expansion of -2.0 in n 8.540 * [backup-simplify]: Simplify -2.0 into -2.0 8.540 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.540 * [taylor]: Taking taylor expansion of PI in n 8.540 * [backup-simplify]: Simplify PI into PI 8.540 * [taylor]: Taking taylor expansion of n in n 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ PI 1) into PI 8.541 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.542 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 8.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.544 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.550 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.556 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.556 * [backup-simplify]: Simplify 0 into 0 8.556 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 8.557 * * * [progress]: simplifying candidates 8.562 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.0625 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.03125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow k 2)))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* 0.03125 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) k))) (* 0.25 (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 8.569 * * [simplify]: iteration 0: 328 enodes 8.716 * * [simplify]: iteration 1: 938 enodes 9.208 * * [simplify]: iteration 2: 2615 enodes 9.936 * * [simplify]: iteration complete: 5002 enodes 9.936 * * [simplify]: Extracting #0: cost 115 inf + 0 9.938 * * [simplify]: Extracting #1: cost 641 inf + 43 9.945 * * [simplify]: Extracting #2: cost 1436 inf + 2959 9.965 * * [simplify]: Extracting #3: cost 1635 inf + 57500 10.015 * * [simplify]: Extracting #4: cost 914 inf + 262452 10.099 * * [simplify]: Extracting #5: cost 361 inf + 472862 10.257 * * [simplify]: Extracting #6: cost 71 inf + 599431 10.387 * * [simplify]: Extracting #7: cost 5 inf + 625824 10.517 * * [simplify]: Extracting #8: cost 1 inf + 627065 10.666 * * [simplify]: Extracting #9: cost 0 inf + 627613 10.818 * [simplify]: Simplified to: (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (pow (* (* PI n) 2.0) (/ 1.0 (* 2 2.0))) (pow (* (* PI n) 2.0) (/ k (* 2 2.0))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) (* 2 2.0))) (cbrt (/ (- 1.0 k) (* 2 2.0))))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) (* 2 2.0)))) (pow (* (* PI n) 2.0) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* PI n) 2.0) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* PI n) 2.0) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (/ (cbrt (- 1.0 k)) (sqrt 2)))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (sqrt 2) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (sqrt 2)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* PI n) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (/ (/ 1 (sqrt 2.0)) (cbrt 2)) (cbrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (sqrt 2) (sqrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (sqrt 2) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* PI n) 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* PI n) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* PI n) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (/ (/ 1 (sqrt 2.0)) (cbrt 2)) (cbrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (sqrt 2) (sqrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) (sqrt 2))) (pow (* (* PI n) 2.0) (- 1.0 k)) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (exp (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0)))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0)))) (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0))))) (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0)))) (pow (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0))) 3) (fabs (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4))) (fabs (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4))) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (/ (- 1.0 k) (* 2 2.0)) (pow (* (* PI n) 2.0) (/ 1.0 (* 2 2.0))) (pow (* (* PI n) 2.0) (/ k (* 2 2.0))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) (* 2 2.0))) (cbrt (/ (- 1.0 k) (* 2 2.0))))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) (* 2 2.0)))) (pow (* (* PI n) 2.0) (* (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)) (/ (cbrt (/ (- 1.0 k) 2.0)) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* PI n) 2.0) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* PI n) 2.0) (* (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)) (/ (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (/ (cbrt (- 1.0 k)) (sqrt 2)))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2)) (/ (cbrt (- 1.0 k)) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (sqrt 2) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (sqrt 2)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2)) (cbrt 2))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* PI n) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (/ (/ 1 (sqrt 2.0)) (cbrt 2)) (cbrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (sqrt 2) (sqrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (sqrt 2) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* PI n) 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* PI n) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* PI n) 2.0) (/ 1 (* (* (cbrt 2) (cbrt 2.0)) (* (cbrt 2) (cbrt 2.0))))) (pow (* (* PI n) 2.0) (/ (/ 1 (sqrt 2)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (/ (/ 1 (sqrt 2.0)) (cbrt 2)) (cbrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (sqrt 2) (sqrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) (sqrt 2))) (pow (* (* PI n) 2.0) (- 1.0 k)) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* PI 2.0) (/ (- 1.0 k) (* 2 2.0))) (pow n (/ (- 1.0 k) (* 2 2.0))) (/ (log (* (* PI n) 2.0)) (/ 2 (/ (- 1.0 k) 2.0))) (exp (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0)))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0)))) (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0))))) (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0)))) (pow (pow (* (* PI n) 2.0) (/ (- 1.0 k) (* 2 2.0))) 3) (fabs (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4))) (fabs (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4))) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (/ (* (* 1.0 1.0) 1.0) k) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* PI n) 2.0)) (* (* (* PI 2.0) (* (* n (* PI 2.0)) (* n (* PI 2.0)))) n) (* (* (* PI 2.0) (* (* n (* PI 2.0)) (* n (* PI 2.0)))) n) (* (cbrt (* (* PI n) 2.0)) (cbrt (* (* PI n) 2.0))) (cbrt (* (* PI n) 2.0)) (* (* (* PI 2.0) (* (* n (* PI 2.0)) (* n (* PI 2.0)))) n) (sqrt (* (* PI n) 2.0)) (sqrt (* (* PI n) 2.0)) (* (* (* PI 2.0) (cbrt n)) (cbrt n)) (* (* 2.0 PI) (sqrt n)) (* PI 2.0) (* PI n) (+ (* (* (log (* PI 2.0)) 0.0625) (* (exp (* (log (* (* PI n) 2.0)) 0.25)) (* (log n) (* k k)))) (+ (* 0.03125 (* (* (log (* PI 2.0)) (* (log (* PI 2.0)) (exp (* (log (* (* PI n) 2.0)) 0.25)))) (* k k))) (- (+ (exp (* (log (* (* PI n) 2.0)) 0.25)) (* (* (* 0.03125 (exp (* (log (* (* PI n) 2.0)) 0.25))) (* k k)) (* (log n) (log n)))) (* (* k (+ (* (log (* PI 2.0)) (exp (* (log (* (* PI n) 2.0)) 0.25))) (* (exp (* (log (* (* PI n) 2.0)) 0.25)) (log n)))) 0.25)))) (exp (* 0.25 (* (- 1.0 k) (log (* (* PI n) 2.0))))) (exp (* (* (- 1.0 k) 0.25) (- (log (* PI -2.0)) (log (/ -1 n))))) (+ (* (* (log (* PI 2.0)) 0.0625) (* (exp (* (log (* (* PI n) 2.0)) 0.25)) (* (log n) (* k k)))) (+ (* 0.03125 (* (* (log (* PI 2.0)) (* (log (* PI 2.0)) (exp (* (log (* (* PI n) 2.0)) 0.25)))) (* k k))) (- (+ (exp (* (log (* (* PI n) 2.0)) 0.25)) (* (* (* 0.03125 (exp (* (log (* (* PI n) 2.0)) 0.25))) (* k k)) (* (log n) (log n)))) (* (* k (+ (* (log (* PI 2.0)) (exp (* (log (* (* PI n) 2.0)) 0.25))) (* (exp (* (log (* (* PI n) 2.0)) 0.25)) (log n)))) 0.25)))) (exp (* 0.25 (* (- 1.0 k) (log (* (* PI n) 2.0))))) (exp (* (* (- 1.0 k) 0.25) (- (log (* PI -2.0)) (log (/ -1 n))))) (- (- (* (* k k) +nan.0) (- +nan.0 (* k +nan.0)))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k))))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k)))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 10.844 * * * [progress]: adding candidates to table 12.481 * * [progress]: iteration 3 / 4 12.481 * * * [progress]: picking best candidate 12.518 * * * * [pick]: Picked # 12.518 * * * [progress]: localizing error 12.576 * * * [progress]: generating rewritten candidates 12.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 12.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 12.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 12.606 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 12.638 * * * [progress]: generating series expansions 12.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 12.639 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 12.639 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 12.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 12.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 12.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 12.639 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 12.639 * [taylor]: Taking taylor expansion of 0.5 in k 12.639 * [backup-simplify]: Simplify 0.5 into 0.5 12.639 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.639 * [taylor]: Taking taylor expansion of 1.0 in k 12.639 * [backup-simplify]: Simplify 1.0 into 1.0 12.639 * [taylor]: Taking taylor expansion of k in k 12.639 * [backup-simplify]: Simplify 0 into 0 12.639 * [backup-simplify]: Simplify 1 into 1 12.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 12.639 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 12.639 * [taylor]: Taking taylor expansion of 2.0 in k 12.639 * [backup-simplify]: Simplify 2.0 into 2.0 12.639 * [taylor]: Taking taylor expansion of (* n PI) in k 12.640 * [taylor]: Taking taylor expansion of n in k 12.640 * [backup-simplify]: Simplify n into n 12.640 * [taylor]: Taking taylor expansion of PI in k 12.640 * [backup-simplify]: Simplify PI into PI 12.640 * [backup-simplify]: Simplify (* n PI) into (* n PI) 12.640 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 12.640 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 12.640 * [backup-simplify]: Simplify (- 0) into 0 12.641 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.641 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 12.641 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 12.642 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 12.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.642 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.642 * [taylor]: Taking taylor expansion of 0.5 in n 12.642 * [backup-simplify]: Simplify 0.5 into 0.5 12.642 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.642 * [taylor]: Taking taylor expansion of 1.0 in n 12.642 * [backup-simplify]: Simplify 1.0 into 1.0 12.642 * [taylor]: Taking taylor expansion of k in n 12.642 * [backup-simplify]: Simplify k into k 12.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.642 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.642 * [taylor]: Taking taylor expansion of 2.0 in n 12.642 * [backup-simplify]: Simplify 2.0 into 2.0 12.642 * [taylor]: Taking taylor expansion of (* n PI) in n 12.642 * [taylor]: Taking taylor expansion of n in n 12.642 * [backup-simplify]: Simplify 0 into 0 12.642 * [backup-simplify]: Simplify 1 into 1 12.642 * [taylor]: Taking taylor expansion of PI in n 12.642 * [backup-simplify]: Simplify PI into PI 12.643 * [backup-simplify]: Simplify (* 0 PI) into 0 12.643 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.645 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.647 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.648 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.648 * [backup-simplify]: Simplify (- k) into (- k) 12.648 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.648 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.650 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.651 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.652 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 12.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 12.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 12.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 12.653 * [taylor]: Taking taylor expansion of 0.5 in n 12.653 * [backup-simplify]: Simplify 0.5 into 0.5 12.653 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 12.653 * [taylor]: Taking taylor expansion of 1.0 in n 12.653 * [backup-simplify]: Simplify 1.0 into 1.0 12.653 * [taylor]: Taking taylor expansion of k in n 12.653 * [backup-simplify]: Simplify k into k 12.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 12.653 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.653 * [taylor]: Taking taylor expansion of 2.0 in n 12.653 * [backup-simplify]: Simplify 2.0 into 2.0 12.653 * [taylor]: Taking taylor expansion of (* n PI) in n 12.653 * [taylor]: Taking taylor expansion of n in n 12.653 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify 1 into 1 12.653 * [taylor]: Taking taylor expansion of PI in n 12.653 * [backup-simplify]: Simplify PI into PI 12.654 * [backup-simplify]: Simplify (* 0 PI) into 0 12.654 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.656 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.657 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.658 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.658 * [backup-simplify]: Simplify (- k) into (- k) 12.659 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 12.659 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 12.660 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.661 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 12.663 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 12.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 12.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 12.663 * [taylor]: Taking taylor expansion of 0.5 in k 12.663 * [backup-simplify]: Simplify 0.5 into 0.5 12.663 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 12.663 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 12.663 * [taylor]: Taking taylor expansion of 1.0 in k 12.663 * [backup-simplify]: Simplify 1.0 into 1.0 12.663 * [taylor]: Taking taylor expansion of k in k 12.663 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify 1 into 1 12.663 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 12.663 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.663 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.663 * [taylor]: Taking taylor expansion of 2.0 in k 12.663 * [backup-simplify]: Simplify 2.0 into 2.0 12.663 * [taylor]: Taking taylor expansion of PI in k 12.663 * [backup-simplify]: Simplify PI into PI 12.664 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.665 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.665 * [taylor]: Taking taylor expansion of (log n) in k 12.665 * [taylor]: Taking taylor expansion of n in k 12.665 * [backup-simplify]: Simplify n into n 12.665 * [backup-simplify]: Simplify (log n) into (log n) 12.666 * [backup-simplify]: Simplify (- 0) into 0 12.666 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.667 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 12.668 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 12.670 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 12.671 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.672 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 12.673 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.674 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.677 * [backup-simplify]: Simplify (- 0) into 0 12.677 * [backup-simplify]: Simplify (+ 0 0) into 0 12.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 12.679 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.681 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 12.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.683 * [taylor]: Taking taylor expansion of 0 in k 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 12.687 * [backup-simplify]: Simplify (+ 0 0) into 0 12.687 * [backup-simplify]: Simplify (- 1) into -1 12.687 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.689 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 12.691 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 12.695 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 12.698 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 12.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.700 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.704 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.704 * [backup-simplify]: Simplify (- 0) into 0 12.704 * [backup-simplify]: Simplify (+ 0 0) into 0 12.705 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 12.706 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 12.707 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.708 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.708 * [taylor]: Taking taylor expansion of 0 in k 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify 0 into 0 12.709 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.711 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 12.713 * [backup-simplify]: Simplify (+ 0 0) into 0 12.713 * [backup-simplify]: Simplify (- 0) into 0 12.713 * [backup-simplify]: Simplify (+ 0 0) into 0 12.715 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 12.716 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 12.719 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 12.722 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 12.728 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 12.729 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 12.729 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 12.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 12.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 12.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.729 * [taylor]: Taking taylor expansion of 0.5 in k 12.729 * [backup-simplify]: Simplify 0.5 into 0.5 12.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.729 * [taylor]: Taking taylor expansion of 1.0 in k 12.729 * [backup-simplify]: Simplify 1.0 into 1.0 12.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.729 * [taylor]: Taking taylor expansion of k in k 12.729 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify 1 into 1 12.729 * [backup-simplify]: Simplify (/ 1 1) into 1 12.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 12.729 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 12.729 * [taylor]: Taking taylor expansion of 2.0 in k 12.729 * [backup-simplify]: Simplify 2.0 into 2.0 12.729 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.729 * [taylor]: Taking taylor expansion of PI in k 12.729 * [backup-simplify]: Simplify PI into PI 12.729 * [taylor]: Taking taylor expansion of n in k 12.729 * [backup-simplify]: Simplify n into n 12.730 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.730 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 12.730 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 12.730 * [backup-simplify]: Simplify (- 1) into -1 12.730 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.730 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.731 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 12.731 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 12.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.731 * [taylor]: Taking taylor expansion of 0.5 in n 12.731 * [backup-simplify]: Simplify 0.5 into 0.5 12.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.731 * [taylor]: Taking taylor expansion of 1.0 in n 12.731 * [backup-simplify]: Simplify 1.0 into 1.0 12.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.731 * [taylor]: Taking taylor expansion of k in n 12.731 * [backup-simplify]: Simplify k into k 12.731 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.731 * [taylor]: Taking taylor expansion of 2.0 in n 12.731 * [backup-simplify]: Simplify 2.0 into 2.0 12.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.731 * [taylor]: Taking taylor expansion of PI in n 12.731 * [backup-simplify]: Simplify PI into PI 12.731 * [taylor]: Taking taylor expansion of n in n 12.731 * [backup-simplify]: Simplify 0 into 0 12.731 * [backup-simplify]: Simplify 1 into 1 12.731 * [backup-simplify]: Simplify (/ PI 1) into PI 12.732 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.732 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.732 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.732 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.733 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.733 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.734 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 12.735 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 12.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 12.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.735 * [taylor]: Taking taylor expansion of 0.5 in n 12.735 * [backup-simplify]: Simplify 0.5 into 0.5 12.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.735 * [taylor]: Taking taylor expansion of 1.0 in n 12.735 * [backup-simplify]: Simplify 1.0 into 1.0 12.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.735 * [taylor]: Taking taylor expansion of k in n 12.735 * [backup-simplify]: Simplify k into k 12.735 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.735 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 12.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.735 * [taylor]: Taking taylor expansion of 2.0 in n 12.735 * [backup-simplify]: Simplify 2.0 into 2.0 12.735 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.735 * [taylor]: Taking taylor expansion of PI in n 12.735 * [backup-simplify]: Simplify PI into PI 12.735 * [taylor]: Taking taylor expansion of n in n 12.735 * [backup-simplify]: Simplify 0 into 0 12.735 * [backup-simplify]: Simplify 1 into 1 12.736 * [backup-simplify]: Simplify (/ PI 1) into PI 12.736 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.737 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.737 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.737 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.737 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.739 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.740 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 12.741 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 12.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 12.742 * [taylor]: Taking taylor expansion of 0.5 in k 12.742 * [backup-simplify]: Simplify 0.5 into 0.5 12.742 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 12.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.742 * [taylor]: Taking taylor expansion of 1.0 in k 12.742 * [backup-simplify]: Simplify 1.0 into 1.0 12.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.742 * [taylor]: Taking taylor expansion of k in k 12.742 * [backup-simplify]: Simplify 0 into 0 12.742 * [backup-simplify]: Simplify 1 into 1 12.742 * [backup-simplify]: Simplify (/ 1 1) into 1 12.742 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 12.742 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 12.742 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 12.742 * [taylor]: Taking taylor expansion of 2.0 in k 12.742 * [backup-simplify]: Simplify 2.0 into 2.0 12.743 * [taylor]: Taking taylor expansion of PI in k 12.743 * [backup-simplify]: Simplify PI into PI 12.743 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.744 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 12.744 * [taylor]: Taking taylor expansion of (log n) in k 12.744 * [taylor]: Taking taylor expansion of n in k 12.744 * [backup-simplify]: Simplify n into n 12.744 * [backup-simplify]: Simplify (log n) into (log n) 12.745 * [backup-simplify]: Simplify (- 1) into -1 12.745 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.745 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.746 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 12.747 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 12.748 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 12.758 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.759 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 12.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.761 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.763 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 12.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.764 * [backup-simplify]: Simplify (- 0) into 0 12.764 * [backup-simplify]: Simplify (+ 0 0) into 0 12.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 12.766 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.767 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 12.769 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.770 * [taylor]: Taking taylor expansion of 0 in k 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify 0 into 0 12.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.772 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.775 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 12.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.776 * [backup-simplify]: Simplify (- 0) into 0 12.777 * [backup-simplify]: Simplify (+ 0 0) into 0 12.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 12.779 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.781 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 12.783 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.783 * [taylor]: Taking taylor expansion of 0 in k 12.783 * [backup-simplify]: Simplify 0 into 0 12.783 * [backup-simplify]: Simplify 0 into 0 12.783 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 0 into 0 12.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.786 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.792 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 12.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.793 * [backup-simplify]: Simplify (- 0) into 0 12.793 * [backup-simplify]: Simplify (+ 0 0) into 0 12.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 12.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 12.797 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 12.799 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.799 * [taylor]: Taking taylor expansion of 0 in k 12.799 * [backup-simplify]: Simplify 0 into 0 12.799 * [backup-simplify]: Simplify 0 into 0 12.800 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 12.800 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 12.800 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 12.800 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 12.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 12.800 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.800 * [taylor]: Taking taylor expansion of 0.5 in k 12.800 * [backup-simplify]: Simplify 0.5 into 0.5 12.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.800 * [taylor]: Taking taylor expansion of k in k 12.800 * [backup-simplify]: Simplify 0 into 0 12.800 * [backup-simplify]: Simplify 1 into 1 12.801 * [backup-simplify]: Simplify (/ 1 1) into 1 12.801 * [taylor]: Taking taylor expansion of 1.0 in k 12.801 * [backup-simplify]: Simplify 1.0 into 1.0 12.801 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 12.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 12.801 * [taylor]: Taking taylor expansion of -2.0 in k 12.801 * [backup-simplify]: Simplify -2.0 into -2.0 12.801 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.801 * [taylor]: Taking taylor expansion of PI in k 12.801 * [backup-simplify]: Simplify PI into PI 12.801 * [taylor]: Taking taylor expansion of n in k 12.801 * [backup-simplify]: Simplify n into n 12.801 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.801 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 12.801 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 12.801 * [backup-simplify]: Simplify (+ 1 0) into 1 12.802 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.802 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 12.802 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 12.802 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.802 * [taylor]: Taking taylor expansion of 0.5 in n 12.802 * [backup-simplify]: Simplify 0.5 into 0.5 12.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.802 * [taylor]: Taking taylor expansion of k in n 12.802 * [backup-simplify]: Simplify k into k 12.802 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.802 * [taylor]: Taking taylor expansion of 1.0 in n 12.802 * [backup-simplify]: Simplify 1.0 into 1.0 12.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.802 * [taylor]: Taking taylor expansion of -2.0 in n 12.802 * [backup-simplify]: Simplify -2.0 into -2.0 12.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.802 * [taylor]: Taking taylor expansion of PI in n 12.802 * [backup-simplify]: Simplify PI into PI 12.802 * [taylor]: Taking taylor expansion of n in n 12.802 * [backup-simplify]: Simplify 0 into 0 12.802 * [backup-simplify]: Simplify 1 into 1 12.803 * [backup-simplify]: Simplify (/ PI 1) into PI 12.803 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.803 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.804 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.804 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.805 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.805 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 12.806 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.806 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 12.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 12.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.806 * [taylor]: Taking taylor expansion of 0.5 in n 12.806 * [backup-simplify]: Simplify 0.5 into 0.5 12.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.806 * [taylor]: Taking taylor expansion of k in n 12.806 * [backup-simplify]: Simplify k into k 12.806 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.806 * [taylor]: Taking taylor expansion of 1.0 in n 12.806 * [backup-simplify]: Simplify 1.0 into 1.0 12.806 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 12.806 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.806 * [taylor]: Taking taylor expansion of -2.0 in n 12.806 * [backup-simplify]: Simplify -2.0 into -2.0 12.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.806 * [taylor]: Taking taylor expansion of PI in n 12.806 * [backup-simplify]: Simplify PI into PI 12.806 * [taylor]: Taking taylor expansion of n in n 12.806 * [backup-simplify]: Simplify 0 into 0 12.806 * [backup-simplify]: Simplify 1 into 1 12.807 * [backup-simplify]: Simplify (/ PI 1) into PI 12.807 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.808 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.808 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.808 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.809 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.810 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 12.810 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 12.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 12.810 * [taylor]: Taking taylor expansion of 0.5 in k 12.810 * [backup-simplify]: Simplify 0.5 into 0.5 12.810 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 12.810 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 12.810 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 12.810 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 12.811 * [taylor]: Taking taylor expansion of -2.0 in k 12.811 * [backup-simplify]: Simplify -2.0 into -2.0 12.811 * [taylor]: Taking taylor expansion of PI in k 12.811 * [backup-simplify]: Simplify PI into PI 12.811 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.812 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 12.812 * [taylor]: Taking taylor expansion of (log n) in k 12.812 * [taylor]: Taking taylor expansion of n in k 12.812 * [backup-simplify]: Simplify n into n 12.812 * [backup-simplify]: Simplify (log n) into (log n) 12.812 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.812 * [taylor]: Taking taylor expansion of k in k 12.812 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify 1 into 1 12.812 * [backup-simplify]: Simplify (/ 1 1) into 1 12.812 * [taylor]: Taking taylor expansion of 1.0 in k 12.812 * [backup-simplify]: Simplify 1.0 into 1.0 12.812 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 12.813 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 12.813 * [backup-simplify]: Simplify (+ 1 0) into 1 12.814 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 12.814 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 12.815 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.816 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.817 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.818 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 12.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.818 * [backup-simplify]: Simplify (+ 0 0) into 0 12.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.820 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.821 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 12.822 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.822 * [taylor]: Taking taylor expansion of 0 in k 12.822 * [backup-simplify]: Simplify 0 into 0 12.822 * [backup-simplify]: Simplify 0 into 0 12.822 * [backup-simplify]: Simplify 0 into 0 12.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.823 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.826 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 12.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.827 * [backup-simplify]: Simplify (+ 0 0) into 0 12.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.829 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.831 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 12.834 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.834 * [taylor]: Taking taylor expansion of 0 in k 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify 0 into 0 12.834 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.836 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.839 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 12.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.840 * [backup-simplify]: Simplify (+ 0 0) into 0 12.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 12.841 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 12.843 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 12.844 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 12.844 * [taylor]: Taking taylor expansion of 0 in k 12.844 * [backup-simplify]: Simplify 0 into 0 12.844 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 12.845 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 12.845 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.845 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.845 * [taylor]: Taking taylor expansion of 1.0 in k 12.845 * [backup-simplify]: Simplify 1.0 into 1.0 12.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.845 * [taylor]: Taking taylor expansion of k in k 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify 1 into 1 12.846 * [backup-simplify]: Simplify (/ 1 1) into 1 12.846 * [backup-simplify]: Simplify (sqrt 0) into 0 12.847 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.847 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.847 * [taylor]: Taking taylor expansion of 1.0 in k 12.847 * [backup-simplify]: Simplify 1.0 into 1.0 12.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.847 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.847 * [taylor]: Taking taylor expansion of k in k 12.847 * [backup-simplify]: Simplify 0 into 0 12.847 * [backup-simplify]: Simplify 1 into 1 12.847 * [backup-simplify]: Simplify (/ 1 1) into 1 12.847 * [backup-simplify]: Simplify (sqrt 0) into 0 12.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.849 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.849 * [backup-simplify]: Simplify 0 into 0 12.849 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.852 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.853 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.854 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.858 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.858 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.859 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 12.859 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.859 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.859 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.859 * [taylor]: Taking taylor expansion of 1.0 in k 12.859 * [backup-simplify]: Simplify 1.0 into 1.0 12.859 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.859 * [taylor]: Taking taylor expansion of k in k 12.859 * [backup-simplify]: Simplify 0 into 0 12.859 * [backup-simplify]: Simplify 1 into 1 12.860 * [backup-simplify]: Simplify (sqrt 0) into 0 12.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.860 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.860 * [taylor]: Taking taylor expansion of 1.0 in k 12.860 * [backup-simplify]: Simplify 1.0 into 1.0 12.860 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.860 * [taylor]: Taking taylor expansion of k in k 12.860 * [backup-simplify]: Simplify 0 into 0 12.860 * [backup-simplify]: Simplify 1 into 1 12.861 * [backup-simplify]: Simplify (sqrt 0) into 0 12.861 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.862 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.862 * [backup-simplify]: Simplify 0 into 0 12.863 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.863 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.865 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.872 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.872 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.879 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.880 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.881 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.882 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.882 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.882 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.882 * [taylor]: Taking taylor expansion of 1.0 in k 12.882 * [backup-simplify]: Simplify 1.0 into 1.0 12.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.882 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.882 * [taylor]: Taking taylor expansion of -1 in k 12.882 * [backup-simplify]: Simplify -1 into -1 12.882 * [taylor]: Taking taylor expansion of k in k 12.882 * [backup-simplify]: Simplify 0 into 0 12.882 * [backup-simplify]: Simplify 1 into 1 12.882 * [backup-simplify]: Simplify (/ -1 1) into -1 12.883 * [backup-simplify]: Simplify (sqrt 0) into 0 12.884 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.884 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.884 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.884 * [taylor]: Taking taylor expansion of 1.0 in k 12.884 * [backup-simplify]: Simplify 1.0 into 1.0 12.884 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.884 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.884 * [taylor]: Taking taylor expansion of -1 in k 12.884 * [backup-simplify]: Simplify -1 into -1 12.884 * [taylor]: Taking taylor expansion of k in k 12.884 * [backup-simplify]: Simplify 0 into 0 12.884 * [backup-simplify]: Simplify 1 into 1 12.885 * [backup-simplify]: Simplify (/ -1 1) into -1 12.885 * [backup-simplify]: Simplify (sqrt 0) into 0 12.886 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.886 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.888 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.890 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.890 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.896 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.896 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.897 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.897 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 12.897 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 12.897 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 12.897 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.897 * [taylor]: Taking taylor expansion of 1.0 in k 12.897 * [backup-simplify]: Simplify 1.0 into 1.0 12.897 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.897 * [taylor]: Taking taylor expansion of k in k 12.897 * [backup-simplify]: Simplify 0 into 0 12.897 * [backup-simplify]: Simplify 1 into 1 12.897 * [backup-simplify]: Simplify (/ 1 1) into 1 12.897 * [backup-simplify]: Simplify (sqrt 0) into 0 12.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.898 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 12.898 * [taylor]: Taking taylor expansion of 1.0 in k 12.898 * [backup-simplify]: Simplify 1.0 into 1.0 12.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 12.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.898 * [taylor]: Taking taylor expansion of k in k 12.898 * [backup-simplify]: Simplify 0 into 0 12.898 * [backup-simplify]: Simplify 1 into 1 12.899 * [backup-simplify]: Simplify (/ 1 1) into 1 12.899 * [backup-simplify]: Simplify (sqrt 0) into 0 12.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.900 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.900 * [backup-simplify]: Simplify 0 into 0 12.901 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.901 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.904 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.905 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.905 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.909 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.910 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.910 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 12.910 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 12.911 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 12.911 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.911 * [taylor]: Taking taylor expansion of 1.0 in k 12.911 * [backup-simplify]: Simplify 1.0 into 1.0 12.911 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.911 * [taylor]: Taking taylor expansion of k in k 12.911 * [backup-simplify]: Simplify 0 into 0 12.911 * [backup-simplify]: Simplify 1 into 1 12.911 * [backup-simplify]: Simplify (sqrt 0) into 0 12.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.912 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 12.912 * [taylor]: Taking taylor expansion of 1.0 in k 12.912 * [backup-simplify]: Simplify 1.0 into 1.0 12.912 * [taylor]: Taking taylor expansion of (sqrt k) in k 12.912 * [taylor]: Taking taylor expansion of k in k 12.912 * [backup-simplify]: Simplify 0 into 0 12.912 * [backup-simplify]: Simplify 1 into 1 12.912 * [backup-simplify]: Simplify (sqrt 0) into 0 12.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.913 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.913 * [backup-simplify]: Simplify 0 into 0 12.914 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 12.914 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.916 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.917 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 12.918 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.921 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 12.921 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.922 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 12.922 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 12.923 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 12.923 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.923 * [taylor]: Taking taylor expansion of 1.0 in k 12.923 * [backup-simplify]: Simplify 1.0 into 1.0 12.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.923 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.923 * [taylor]: Taking taylor expansion of -1 in k 12.923 * [backup-simplify]: Simplify -1 into -1 12.923 * [taylor]: Taking taylor expansion of k in k 12.923 * [backup-simplify]: Simplify 0 into 0 12.923 * [backup-simplify]: Simplify 1 into 1 12.923 * [backup-simplify]: Simplify (/ -1 1) into -1 12.923 * [backup-simplify]: Simplify (sqrt 0) into 0 12.924 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.925 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.925 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 12.925 * [taylor]: Taking taylor expansion of 1.0 in k 12.925 * [backup-simplify]: Simplify 1.0 into 1.0 12.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 12.925 * [taylor]: Taking taylor expansion of (/ -1 k) in k 12.925 * [taylor]: Taking taylor expansion of -1 in k 12.925 * [backup-simplify]: Simplify -1 into -1 12.925 * [taylor]: Taking taylor expansion of k in k 12.925 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify 1 into 1 12.925 * [backup-simplify]: Simplify (/ -1 1) into -1 12.926 * [backup-simplify]: Simplify (sqrt 0) into 0 12.927 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 12.927 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 12.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.932 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.934 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 12.935 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 12.944 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 12.944 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.946 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 12.946 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 12.946 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 12.946 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 12.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.946 * [taylor]: Taking taylor expansion of 2.0 in n 12.946 * [backup-simplify]: Simplify 2.0 into 2.0 12.946 * [taylor]: Taking taylor expansion of (* n PI) in n 12.946 * [taylor]: Taking taylor expansion of n in n 12.946 * [backup-simplify]: Simplify 0 into 0 12.946 * [backup-simplify]: Simplify 1 into 1 12.946 * [taylor]: Taking taylor expansion of PI in n 12.947 * [backup-simplify]: Simplify PI into PI 12.947 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 12.947 * [taylor]: Taking taylor expansion of 2.0 in n 12.947 * [backup-simplify]: Simplify 2.0 into 2.0 12.947 * [taylor]: Taking taylor expansion of (* n PI) in n 12.947 * [taylor]: Taking taylor expansion of n in n 12.947 * [backup-simplify]: Simplify 0 into 0 12.947 * [backup-simplify]: Simplify 1 into 1 12.947 * [taylor]: Taking taylor expansion of PI in n 12.947 * [backup-simplify]: Simplify PI into PI 12.947 * [backup-simplify]: Simplify (* 0 PI) into 0 12.948 * [backup-simplify]: Simplify (* 2.0 0) into 0 12.948 * [backup-simplify]: Simplify 0 into 0 12.949 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.951 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 12.951 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.953 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 12.953 * [backup-simplify]: Simplify 0 into 0 12.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.956 * [backup-simplify]: Simplify 0 into 0 12.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.960 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.960 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.963 * [backup-simplify]: Simplify 0 into 0 12.965 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.967 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.967 * [backup-simplify]: Simplify 0 into 0 12.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.970 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.970 * [backup-simplify]: Simplify 0 into 0 12.970 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 12.970 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 12.970 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 12.970 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.970 * [taylor]: Taking taylor expansion of 2.0 in n 12.970 * [backup-simplify]: Simplify 2.0 into 2.0 12.970 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.970 * [taylor]: Taking taylor expansion of PI in n 12.970 * [backup-simplify]: Simplify PI into PI 12.970 * [taylor]: Taking taylor expansion of n in n 12.970 * [backup-simplify]: Simplify 0 into 0 12.970 * [backup-simplify]: Simplify 1 into 1 12.971 * [backup-simplify]: Simplify (/ PI 1) into PI 12.971 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 12.971 * [taylor]: Taking taylor expansion of 2.0 in n 12.971 * [backup-simplify]: Simplify 2.0 into 2.0 12.971 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.971 * [taylor]: Taking taylor expansion of PI in n 12.971 * [backup-simplify]: Simplify PI into PI 12.971 * [taylor]: Taking taylor expansion of n in n 12.971 * [backup-simplify]: Simplify 0 into 0 12.971 * [backup-simplify]: Simplify 1 into 1 12.971 * [backup-simplify]: Simplify (/ PI 1) into PI 12.972 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.972 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 12.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.973 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 12.973 * [backup-simplify]: Simplify 0 into 0 12.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.974 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.974 * [backup-simplify]: Simplify 0 into 0 12.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.976 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.976 * [backup-simplify]: Simplify 0 into 0 12.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.977 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.977 * [backup-simplify]: Simplify 0 into 0 12.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.979 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.979 * [backup-simplify]: Simplify 0 into 0 12.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.986 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.986 * [backup-simplify]: Simplify 0 into 0 12.986 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 12.987 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 12.987 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 12.987 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.987 * [taylor]: Taking taylor expansion of -2.0 in n 12.987 * [backup-simplify]: Simplify -2.0 into -2.0 12.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.987 * [taylor]: Taking taylor expansion of PI in n 12.987 * [backup-simplify]: Simplify PI into PI 12.987 * [taylor]: Taking taylor expansion of n in n 12.987 * [backup-simplify]: Simplify 0 into 0 12.987 * [backup-simplify]: Simplify 1 into 1 12.987 * [backup-simplify]: Simplify (/ PI 1) into PI 12.987 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 12.987 * [taylor]: Taking taylor expansion of -2.0 in n 12.987 * [backup-simplify]: Simplify -2.0 into -2.0 12.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.987 * [taylor]: Taking taylor expansion of PI in n 12.987 * [backup-simplify]: Simplify PI into PI 12.987 * [taylor]: Taking taylor expansion of n in n 12.987 * [backup-simplify]: Simplify 0 into 0 12.988 * [backup-simplify]: Simplify 1 into 1 12.988 * [backup-simplify]: Simplify (/ PI 1) into PI 12.988 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.988 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 12.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.990 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 12.990 * [backup-simplify]: Simplify 0 into 0 12.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.991 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.991 * [backup-simplify]: Simplify 0 into 0 12.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.992 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.994 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.994 * [backup-simplify]: Simplify 0 into 0 12.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.995 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.995 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.997 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.997 * [backup-simplify]: Simplify 0 into 0 12.997 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 12.997 * * * [progress]: simplifying candidates 12.999 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 13.003 * * [simplify]: iteration 0: 236 enodes 13.089 * * [simplify]: iteration 1: 601 enodes 13.355 * * [simplify]: iteration 2: 1810 enodes 14.113 * * [simplify]: iteration complete: 5000 enodes 14.113 * * [simplify]: Extracting #0: cost 81 inf + 0 14.115 * * [simplify]: Extracting #1: cost 678 inf + 2 14.123 * * [simplify]: Extracting #2: cost 1517 inf + 5547 14.154 * * [simplify]: Extracting #3: cost 1378 inf + 83918 14.245 * * [simplify]: Extracting #4: cost 604 inf + 291031 14.393 * * [simplify]: Extracting #5: cost 190 inf + 474955 14.543 * * [simplify]: Extracting #6: cost 19 inf + 536567 14.662 * * [simplify]: Extracting #7: cost 0 inf + 536604 14.799 * * [simplify]: Extracting #8: cost 0 inf + 535924 14.937 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* PI n) 2.0) (/ 1.0 2.0)) (pow (* (* PI n) 2.0) (/ k 2.0)) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (cbrt (- 1.0 k)) (/ (sqrt 2.0) (cbrt (- 1.0 k))))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* PI n) 2.0) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2.0))) (* (* PI n) 2.0) (* (* PI n) 2.0) (pow (* (* PI n) 2.0) (- 1.0 k)) (pow (* PI 2.0) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (exp (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (pow (* (* PI n) 2.0) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* (* PI n) 2.0) (* (/ (- 1.0 k) 2.0) 1/2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (log (* (* PI n) 2.0)) (exp (* (* PI n) 2.0)) (* (* (* n 2.0) PI) (* (* (* n 2.0) PI) (* (* n 2.0) PI))) (* (* (* n 2.0) PI) (* (* (* n 2.0) PI) (* (* n 2.0) PI))) (* (cbrt (* (* PI n) 2.0)) (cbrt (* (* PI n) 2.0))) (cbrt (* (* PI n) 2.0)) (* (* (* n 2.0) PI) (* (* (* n 2.0) PI) (* (* n 2.0) PI))) (sqrt (* (* PI n) 2.0)) (sqrt (* (* PI n) 2.0)) (* 2.0 (* (* PI (cbrt n)) (cbrt n))) (* (* (sqrt n) 2.0) PI) (* PI 2.0) (* PI n) (+ (* (* (* k k) 0.125) (+ (* (* (log n) (log n)) (exp (* (log (* (* PI n) 2.0)) 0.5))) (* (* (exp (* (log (* (* PI n) 2.0)) 0.5)) (log (* PI 2.0))) (log (* PI 2.0))))) (+ (exp (* (log (* (* PI n) 2.0)) 0.5)) (- (* (* (* 0.25 (log (* PI 2.0))) (* (log n) (* k k))) (exp (* (log (* (* PI n) 2.0)) 0.5))) (* 0.5 (* (* (exp (* (log (* (* PI n) 2.0)) 0.5)) k) (log (* (* PI n) 2.0))))))) (exp (* (* (log (* (* PI n) 2.0)) 0.5) (- 1.0 k))) (exp (* (* 0.5 (- 1.0 k)) (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (* (* k k) (- +nan.0)) (- +nan.0 (* +nan.0 k))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k))))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k)))) (+ (* (* k k) (- +nan.0)) (- +nan.0 (* +nan.0 k))) (+ (- (/ +nan.0 (* k k))) (- (/ +nan.0 k) (/ +nan.0 (* k (* k k))))) (+ (- (/ +nan.0 k) +nan.0) (- (/ +nan.0 (* k k)))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) 14.950 * * * [progress]: adding candidates to table 15.873 * * [progress]: iteration 4 / 4 15.873 * * * [progress]: picking best candidate 15.908 * * * * [pick]: Picked # 15.908 * * * [progress]: localizing error 15.980 * * * [progress]: generating rewritten candidates 15.980 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 15.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 15.983 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 16.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 16.034 * * * [progress]: generating series expansions 16.034 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 16.034 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 16.034 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 16.034 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 16.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 16.034 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 16.034 * [taylor]: Taking taylor expansion of 1/3 in k 16.034 * [backup-simplify]: Simplify 1/3 into 1/3 16.034 * [taylor]: Taking taylor expansion of (log k) in k 16.035 * [taylor]: Taking taylor expansion of k in k 16.035 * [backup-simplify]: Simplify 0 into 0 16.035 * [backup-simplify]: Simplify 1 into 1 16.035 * [backup-simplify]: Simplify (log 1) into 0 16.035 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.035 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 16.036 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 16.036 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 16.036 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 16.036 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 16.036 * [taylor]: Taking taylor expansion of 1/3 in k 16.036 * [backup-simplify]: Simplify 1/3 into 1/3 16.036 * [taylor]: Taking taylor expansion of (log k) in k 16.036 * [taylor]: Taking taylor expansion of k in k 16.036 * [backup-simplify]: Simplify 0 into 0 16.036 * [backup-simplify]: Simplify 1 into 1 16.036 * [backup-simplify]: Simplify (log 1) into 0 16.036 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.036 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 16.036 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 16.036 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 16.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.038 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.038 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 16.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.038 * [backup-simplify]: Simplify 0 into 0 16.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.040 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 16.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.042 * [backup-simplify]: Simplify 0 into 0 16.044 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.045 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.046 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 16.046 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.046 * [backup-simplify]: Simplify 0 into 0 16.052 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.053 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.054 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 16.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.055 * [backup-simplify]: Simplify 0 into 0 16.068 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.069 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 16.074 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.074 * [backup-simplify]: Simplify 0 into 0 16.099 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.100 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.102 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 16.108 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.108 * [backup-simplify]: Simplify 0 into 0 16.109 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 16.109 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 16.109 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 16.109 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.109 * [taylor]: Taking taylor expansion of 1/3 in k 16.109 * [backup-simplify]: Simplify 1/3 into 1/3 16.109 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.109 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.109 * [taylor]: Taking taylor expansion of k in k 16.109 * [backup-simplify]: Simplify 0 into 0 16.109 * [backup-simplify]: Simplify 1 into 1 16.109 * [backup-simplify]: Simplify (/ 1 1) into 1 16.110 * [backup-simplify]: Simplify (log 1) into 0 16.110 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.110 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.111 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.111 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.111 * [taylor]: Taking taylor expansion of 1/3 in k 16.111 * [backup-simplify]: Simplify 1/3 into 1/3 16.111 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.111 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.111 * [taylor]: Taking taylor expansion of k in k 16.111 * [backup-simplify]: Simplify 0 into 0 16.111 * [backup-simplify]: Simplify 1 into 1 16.111 * [backup-simplify]: Simplify (/ 1 1) into 1 16.112 * [backup-simplify]: Simplify (log 1) into 0 16.112 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.112 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.112 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.113 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 16.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.115 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 16.117 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.117 * [backup-simplify]: Simplify 0 into 0 16.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.121 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 16.124 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.124 * [backup-simplify]: Simplify 0 into 0 16.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.130 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.130 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.132 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 16.133 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.134 * [backup-simplify]: Simplify 0 into 0 16.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.146 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.147 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.148 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 16.149 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.149 * [backup-simplify]: Simplify 0 into 0 16.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.159 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.159 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.160 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 16.162 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.162 * [backup-simplify]: Simplify 0 into 0 16.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.184 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.184 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.187 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 16.193 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.193 * [backup-simplify]: Simplify 0 into 0 16.193 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 16.194 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 16.194 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in (k) around 0 16.194 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 16.194 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.194 * [taylor]: Taking taylor expansion of -1 in k 16.194 * [backup-simplify]: Simplify -1 into -1 16.195 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.195 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.196 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.196 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.196 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.196 * [taylor]: Taking taylor expansion of 1/3 in k 16.196 * [backup-simplify]: Simplify 1/3 into 1/3 16.196 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.196 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.196 * [taylor]: Taking taylor expansion of k in k 16.196 * [backup-simplify]: Simplify 0 into 0 16.196 * [backup-simplify]: Simplify 1 into 1 16.196 * [backup-simplify]: Simplify (/ 1 1) into 1 16.197 * [backup-simplify]: Simplify (log 1) into 0 16.197 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.197 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.197 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.197 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 16.197 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.198 * [taylor]: Taking taylor expansion of -1 in k 16.198 * [backup-simplify]: Simplify -1 into -1 16.198 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.199 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.199 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.199 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.199 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.199 * [taylor]: Taking taylor expansion of 1/3 in k 16.199 * [backup-simplify]: Simplify 1/3 into 1/3 16.199 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.199 * [taylor]: Taking taylor expansion of k in k 16.199 * [backup-simplify]: Simplify 0 into 0 16.199 * [backup-simplify]: Simplify 1 into 1 16.200 * [backup-simplify]: Simplify (/ 1 1) into 1 16.200 * [backup-simplify]: Simplify (log 1) into 0 16.201 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.201 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.201 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.202 * [backup-simplify]: Simplify (* (cbrt -1) (pow k -1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 16.203 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 k) 1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 16.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.206 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 16.207 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.208 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow k -1/3))) into 0 16.208 * [backup-simplify]: Simplify 0 into 0 16.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.212 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.213 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 16.214 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.217 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 16.217 * [backup-simplify]: Simplify 0 into 0 16.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.223 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.224 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.225 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 16.227 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.230 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 16.230 * [backup-simplify]: Simplify 0 into 0 16.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.237 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.238 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.239 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 16.240 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.242 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 16.242 * [backup-simplify]: Simplify 0 into 0 16.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.252 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.258 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.260 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 16.262 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.265 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 16.265 * [backup-simplify]: Simplify 0 into 0 16.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.294 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.294 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 16.299 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.302 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 16.302 * [backup-simplify]: Simplify 0 into 0 16.302 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)) into (* (pow (* k -1) 1/3) (cbrt -1)) 16.303 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 16.303 * [backup-simplify]: Simplify (cbrt k) into (pow k 1/3) 16.303 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 16.303 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 16.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 16.303 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 16.303 * [taylor]: Taking taylor expansion of 1/3 in k 16.303 * [backup-simplify]: Simplify 1/3 into 1/3 16.303 * [taylor]: Taking taylor expansion of (log k) in k 16.303 * [taylor]: Taking taylor expansion of k in k 16.303 * [backup-simplify]: Simplify 0 into 0 16.303 * [backup-simplify]: Simplify 1 into 1 16.303 * [backup-simplify]: Simplify (log 1) into 0 16.303 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.303 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 16.303 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 16.303 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 16.303 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 16.303 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 16.304 * [taylor]: Taking taylor expansion of 1/3 in k 16.304 * [backup-simplify]: Simplify 1/3 into 1/3 16.304 * [taylor]: Taking taylor expansion of (log k) in k 16.304 * [taylor]: Taking taylor expansion of k in k 16.304 * [backup-simplify]: Simplify 0 into 0 16.304 * [backup-simplify]: Simplify 1 into 1 16.304 * [backup-simplify]: Simplify (log 1) into 0 16.304 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.304 * [backup-simplify]: Simplify (* 1/3 (log k)) into (* 1/3 (log k)) 16.304 * [backup-simplify]: Simplify (exp (* 1/3 (log k))) into (pow k 1/3) 16.304 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 16.305 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.305 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.306 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log k))) into 0 16.306 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.306 * [backup-simplify]: Simplify 0 into 0 16.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.308 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.309 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log k)))) into 0 16.309 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.309 * [backup-simplify]: Simplify 0 into 0 16.312 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.312 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.313 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 16.314 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.314 * [backup-simplify]: Simplify 0 into 0 16.320 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.320 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.321 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 16.323 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.323 * [backup-simplify]: Simplify 0 into 0 16.332 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.332 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.333 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 16.335 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.336 * [backup-simplify]: Simplify 0 into 0 16.374 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.375 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.377 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 16.383 * [backup-simplify]: Simplify (* (exp (* 1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.383 * [backup-simplify]: Simplify 0 into 0 16.383 * [backup-simplify]: Simplify (pow k 1/3) into (pow k 1/3) 16.383 * [backup-simplify]: Simplify (cbrt (/ 1 k)) into (pow (/ 1 k) 1/3) 16.383 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 16.383 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.384 * [taylor]: Taking taylor expansion of 1/3 in k 16.384 * [backup-simplify]: Simplify 1/3 into 1/3 16.384 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.384 * [taylor]: Taking taylor expansion of k in k 16.384 * [backup-simplify]: Simplify 0 into 0 16.384 * [backup-simplify]: Simplify 1 into 1 16.384 * [backup-simplify]: Simplify (/ 1 1) into 1 16.385 * [backup-simplify]: Simplify (log 1) into 0 16.385 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.385 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.385 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.385 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.385 * [taylor]: Taking taylor expansion of 1/3 in k 16.385 * [backup-simplify]: Simplify 1/3 into 1/3 16.385 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.385 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.385 * [taylor]: Taking taylor expansion of k in k 16.385 * [backup-simplify]: Simplify 0 into 0 16.386 * [backup-simplify]: Simplify 1 into 1 16.386 * [backup-simplify]: Simplify (/ 1 1) into 1 16.386 * [backup-simplify]: Simplify (log 1) into 0 16.387 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.387 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.387 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.387 * [backup-simplify]: Simplify (pow k -1/3) into (pow k -1/3) 16.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.389 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.390 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 16.391 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.391 * [backup-simplify]: Simplify 0 into 0 16.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.394 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.395 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 16.396 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.396 * [backup-simplify]: Simplify 0 into 0 16.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.399 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.400 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.401 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 16.401 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.402 * [backup-simplify]: Simplify 0 into 0 16.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.408 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.408 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 16.411 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.411 * [backup-simplify]: Simplify 0 into 0 16.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.421 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.421 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.422 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 16.424 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.424 * [backup-simplify]: Simplify 0 into 0 16.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.442 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.443 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.445 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 16.451 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.451 * [backup-simplify]: Simplify 0 into 0 16.451 * [backup-simplify]: Simplify (pow (/ 1 k) -1/3) into (pow (/ 1 k) -1/3) 16.452 * [backup-simplify]: Simplify (cbrt (/ 1 (- k))) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 16.452 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in (k) around 0 16.452 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 16.452 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.452 * [taylor]: Taking taylor expansion of -1 in k 16.452 * [backup-simplify]: Simplify -1 into -1 16.452 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.453 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.453 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.453 * [taylor]: Taking taylor expansion of 1/3 in k 16.453 * [backup-simplify]: Simplify 1/3 into 1/3 16.453 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.453 * [taylor]: Taking taylor expansion of k in k 16.453 * [backup-simplify]: Simplify 0 into 0 16.453 * [backup-simplify]: Simplify 1 into 1 16.454 * [backup-simplify]: Simplify (/ 1 1) into 1 16.454 * [backup-simplify]: Simplify (log 1) into 0 16.455 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.455 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.455 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.455 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 k) 1/3)) in k 16.455 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.455 * [taylor]: Taking taylor expansion of -1 in k 16.455 * [backup-simplify]: Simplify -1 into -1 16.455 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.456 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.456 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 16.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 16.456 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 16.456 * [taylor]: Taking taylor expansion of 1/3 in k 16.456 * [backup-simplify]: Simplify 1/3 into 1/3 16.456 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.456 * [taylor]: Taking taylor expansion of k in k 16.456 * [backup-simplify]: Simplify 0 into 0 16.456 * [backup-simplify]: Simplify 1 into 1 16.457 * [backup-simplify]: Simplify (/ 1 1) into 1 16.457 * [backup-simplify]: Simplify (log 1) into 0 16.458 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.458 * [backup-simplify]: Simplify (* 1/3 (- (log k))) into (* -1/3 (log k)) 16.458 * [backup-simplify]: Simplify (exp (* -1/3 (log k))) into (pow k -1/3) 16.459 * [backup-simplify]: Simplify (* (cbrt -1) (pow k -1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 16.459 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 k) 1/3)) into (* (cbrt -1) (pow (/ 1 k) 1/3)) 16.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.461 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.462 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log k)))) into 0 16.463 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.464 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow k -1/3))) into 0 16.464 * [backup-simplify]: Simplify 0 into 0 16.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.468 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.468 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.469 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 16.470 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.471 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow k -1/3)))) into 0 16.471 * [backup-simplify]: Simplify 0 into 0 16.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.475 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.475 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 16.484 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.486 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))) into 0 16.486 * [backup-simplify]: Simplify 0 into 0 16.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.492 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.493 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 16.495 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.497 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))) into 0 16.497 * [backup-simplify]: Simplify 0 into 0 16.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.507 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.508 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.509 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 16.511 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 16.513 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3))))))) into 0 16.514 * [backup-simplify]: Simplify 0 into 0 16.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.541 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.542 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.545 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 16.550 * [backup-simplify]: Simplify (* (exp (* -1/3 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 16.555 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/3)))))))) into 0 16.555 * [backup-simplify]: Simplify 0 into 0 16.556 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)) into (* (pow (* k -1) 1/3) (cbrt -1)) 16.556 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 16.557 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.557 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.557 * [taylor]: Taking taylor expansion of 0.5 in k 16.557 * [backup-simplify]: Simplify 0.5 into 0.5 16.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.557 * [taylor]: Taking taylor expansion of 1.0 in k 16.557 * [backup-simplify]: Simplify 1.0 into 1.0 16.557 * [taylor]: Taking taylor expansion of k in k 16.557 * [backup-simplify]: Simplify 0 into 0 16.557 * [backup-simplify]: Simplify 1 into 1 16.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.557 * [taylor]: Taking taylor expansion of 2.0 in k 16.557 * [backup-simplify]: Simplify 2.0 into 2.0 16.557 * [taylor]: Taking taylor expansion of (* n PI) in k 16.557 * [taylor]: Taking taylor expansion of n in k 16.557 * [backup-simplify]: Simplify n into n 16.557 * [taylor]: Taking taylor expansion of PI in k 16.557 * [backup-simplify]: Simplify PI into PI 16.557 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.557 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.558 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.558 * [backup-simplify]: Simplify (- 0) into 0 16.558 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.559 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.559 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.559 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.559 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.559 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.559 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.559 * [taylor]: Taking taylor expansion of 0.5 in n 16.559 * [backup-simplify]: Simplify 0.5 into 0.5 16.559 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.559 * [taylor]: Taking taylor expansion of 1.0 in n 16.559 * [backup-simplify]: Simplify 1.0 into 1.0 16.559 * [taylor]: Taking taylor expansion of k in n 16.559 * [backup-simplify]: Simplify k into k 16.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.560 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.560 * [taylor]: Taking taylor expansion of 2.0 in n 16.560 * [backup-simplify]: Simplify 2.0 into 2.0 16.560 * [taylor]: Taking taylor expansion of (* n PI) in n 16.560 * [taylor]: Taking taylor expansion of n in n 16.560 * [backup-simplify]: Simplify 0 into 0 16.560 * [backup-simplify]: Simplify 1 into 1 16.560 * [taylor]: Taking taylor expansion of PI in n 16.560 * [backup-simplify]: Simplify PI into PI 16.560 * [backup-simplify]: Simplify (* 0 PI) into 0 16.560 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.562 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.563 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.563 * [backup-simplify]: Simplify (- k) into (- k) 16.563 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.563 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.564 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.565 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 16.565 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 16.565 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.565 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.566 * [taylor]: Taking taylor expansion of 0.5 in n 16.566 * [backup-simplify]: Simplify 0.5 into 0.5 16.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.566 * [taylor]: Taking taylor expansion of 1.0 in n 16.566 * [backup-simplify]: Simplify 1.0 into 1.0 16.566 * [taylor]: Taking taylor expansion of k in n 16.566 * [backup-simplify]: Simplify k into k 16.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.566 * [taylor]: Taking taylor expansion of 2.0 in n 16.566 * [backup-simplify]: Simplify 2.0 into 2.0 16.566 * [taylor]: Taking taylor expansion of (* n PI) in n 16.566 * [taylor]: Taking taylor expansion of n in n 16.566 * [backup-simplify]: Simplify 0 into 0 16.566 * [backup-simplify]: Simplify 1 into 1 16.566 * [taylor]: Taking taylor expansion of PI in n 16.566 * [backup-simplify]: Simplify PI into PI 16.566 * [backup-simplify]: Simplify (* 0 PI) into 0 16.566 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.568 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.569 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.569 * [backup-simplify]: Simplify (- k) into (- k) 16.569 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.569 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.570 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.571 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 16.571 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 16.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.571 * [taylor]: Taking taylor expansion of 0.5 in k 16.571 * [backup-simplify]: Simplify 0.5 into 0.5 16.571 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.572 * [taylor]: Taking taylor expansion of 1.0 in k 16.572 * [backup-simplify]: Simplify 1.0 into 1.0 16.572 * [taylor]: Taking taylor expansion of k in k 16.572 * [backup-simplify]: Simplify 0 into 0 16.572 * [backup-simplify]: Simplify 1 into 1 16.572 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.572 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.572 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.572 * [taylor]: Taking taylor expansion of 2.0 in k 16.572 * [backup-simplify]: Simplify 2.0 into 2.0 16.572 * [taylor]: Taking taylor expansion of PI in k 16.572 * [backup-simplify]: Simplify PI into PI 16.572 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.573 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.573 * [taylor]: Taking taylor expansion of (log n) in k 16.573 * [taylor]: Taking taylor expansion of n in k 16.573 * [backup-simplify]: Simplify n into n 16.573 * [backup-simplify]: Simplify (log n) into (log n) 16.573 * [backup-simplify]: Simplify (- 0) into 0 16.573 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.574 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.575 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.575 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.576 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.577 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.577 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.579 * [backup-simplify]: Simplify (- 0) into 0 16.579 * [backup-simplify]: Simplify (+ 0 0) into 0 16.580 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.581 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.581 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.583 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.583 * [taylor]: Taking taylor expansion of 0 in k 16.583 * [backup-simplify]: Simplify 0 into 0 16.583 * [backup-simplify]: Simplify 0 into 0 16.583 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.592 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.594 * [backup-simplify]: Simplify (+ 0 0) into 0 16.594 * [backup-simplify]: Simplify (- 1) into -1 16.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.596 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.598 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 16.601 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.604 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.607 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.610 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.611 * [backup-simplify]: Simplify (- 0) into 0 16.611 * [backup-simplify]: Simplify (+ 0 0) into 0 16.612 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.613 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.615 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.617 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.617 * [taylor]: Taking taylor expansion of 0 in k 16.617 * [backup-simplify]: Simplify 0 into 0 16.617 * [backup-simplify]: Simplify 0 into 0 16.617 * [backup-simplify]: Simplify 0 into 0 16.618 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.624 * [backup-simplify]: Simplify (+ 0 0) into 0 16.624 * [backup-simplify]: Simplify (- 0) into 0 16.624 * [backup-simplify]: Simplify (+ 0 0) into 0 16.626 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.627 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.630 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.633 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.639 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 16.639 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 16.640 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.640 * [taylor]: Taking taylor expansion of 0.5 in k 16.640 * [backup-simplify]: Simplify 0.5 into 0.5 16.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.640 * [taylor]: Taking taylor expansion of 1.0 in k 16.640 * [backup-simplify]: Simplify 1.0 into 1.0 16.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.640 * [taylor]: Taking taylor expansion of k in k 16.640 * [backup-simplify]: Simplify 0 into 0 16.640 * [backup-simplify]: Simplify 1 into 1 16.640 * [backup-simplify]: Simplify (/ 1 1) into 1 16.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.640 * [taylor]: Taking taylor expansion of 2.0 in k 16.640 * [backup-simplify]: Simplify 2.0 into 2.0 16.640 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.640 * [taylor]: Taking taylor expansion of PI in k 16.640 * [backup-simplify]: Simplify PI into PI 16.640 * [taylor]: Taking taylor expansion of n in k 16.640 * [backup-simplify]: Simplify n into n 16.640 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.640 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.640 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.641 * [backup-simplify]: Simplify (- 1) into -1 16.641 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.641 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.641 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.641 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 16.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.641 * [taylor]: Taking taylor expansion of 0.5 in n 16.641 * [backup-simplify]: Simplify 0.5 into 0.5 16.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.642 * [taylor]: Taking taylor expansion of 1.0 in n 16.642 * [backup-simplify]: Simplify 1.0 into 1.0 16.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.642 * [taylor]: Taking taylor expansion of k in n 16.642 * [backup-simplify]: Simplify k into k 16.642 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.642 * [taylor]: Taking taylor expansion of 2.0 in n 16.642 * [backup-simplify]: Simplify 2.0 into 2.0 16.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.642 * [taylor]: Taking taylor expansion of PI in n 16.642 * [backup-simplify]: Simplify PI into PI 16.642 * [taylor]: Taking taylor expansion of n in n 16.642 * [backup-simplify]: Simplify 0 into 0 16.642 * [backup-simplify]: Simplify 1 into 1 16.642 * [backup-simplify]: Simplify (/ PI 1) into PI 16.642 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.643 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.643 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.643 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.643 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.644 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.645 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 16.646 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.646 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.646 * [taylor]: Taking taylor expansion of 0.5 in n 16.646 * [backup-simplify]: Simplify 0.5 into 0.5 16.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.646 * [taylor]: Taking taylor expansion of 1.0 in n 16.646 * [backup-simplify]: Simplify 1.0 into 1.0 16.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.646 * [taylor]: Taking taylor expansion of k in n 16.646 * [backup-simplify]: Simplify k into k 16.646 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.646 * [taylor]: Taking taylor expansion of 2.0 in n 16.646 * [backup-simplify]: Simplify 2.0 into 2.0 16.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.646 * [taylor]: Taking taylor expansion of PI in n 16.646 * [backup-simplify]: Simplify PI into PI 16.646 * [taylor]: Taking taylor expansion of n in n 16.646 * [backup-simplify]: Simplify 0 into 0 16.646 * [backup-simplify]: Simplify 1 into 1 16.647 * [backup-simplify]: Simplify (/ PI 1) into PI 16.647 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.647 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.648 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.648 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.648 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.649 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.649 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 16.650 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 16.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 16.650 * [taylor]: Taking taylor expansion of 0.5 in k 16.650 * [backup-simplify]: Simplify 0.5 into 0.5 16.650 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 16.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.650 * [taylor]: Taking taylor expansion of 1.0 in k 16.650 * [backup-simplify]: Simplify 1.0 into 1.0 16.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.650 * [taylor]: Taking taylor expansion of k in k 16.650 * [backup-simplify]: Simplify 0 into 0 16.650 * [backup-simplify]: Simplify 1 into 1 16.651 * [backup-simplify]: Simplify (/ 1 1) into 1 16.651 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.651 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.651 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.651 * [taylor]: Taking taylor expansion of 2.0 in k 16.651 * [backup-simplify]: Simplify 2.0 into 2.0 16.651 * [taylor]: Taking taylor expansion of PI in k 16.651 * [backup-simplify]: Simplify PI into PI 16.651 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.652 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.652 * [taylor]: Taking taylor expansion of (log n) in k 16.652 * [taylor]: Taking taylor expansion of n in k 16.652 * [backup-simplify]: Simplify n into n 16.652 * [backup-simplify]: Simplify (log n) into (log n) 16.652 * [backup-simplify]: Simplify (- 1) into -1 16.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.653 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.654 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.655 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.656 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.657 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.659 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.663 * [backup-simplify]: Simplify (- 0) into 0 16.663 * [backup-simplify]: Simplify (+ 0 0) into 0 16.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.665 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.666 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.668 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.669 * [taylor]: Taking taylor expansion of 0 in k 16.669 * [backup-simplify]: Simplify 0 into 0 16.669 * [backup-simplify]: Simplify 0 into 0 16.669 * [backup-simplify]: Simplify 0 into 0 16.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.671 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.675 * [backup-simplify]: Simplify (- 0) into 0 16.675 * [backup-simplify]: Simplify (+ 0 0) into 0 16.676 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.678 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.679 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.682 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.682 * [taylor]: Taking taylor expansion of 0 in k 16.682 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify 0 into 0 16.682 * [backup-simplify]: Simplify 0 into 0 16.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.690 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 16.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.691 * [backup-simplify]: Simplify (- 0) into 0 16.691 * [backup-simplify]: Simplify (+ 0 0) into 0 16.692 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.694 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.696 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.696 * [taylor]: Taking taylor expansion of 0 in k 16.696 * [backup-simplify]: Simplify 0 into 0 16.696 * [backup-simplify]: Simplify 0 into 0 16.697 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 16.698 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 16.698 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.698 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.698 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.698 * [taylor]: Taking taylor expansion of 0.5 in k 16.698 * [backup-simplify]: Simplify 0.5 into 0.5 16.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.698 * [taylor]: Taking taylor expansion of k in k 16.698 * [backup-simplify]: Simplify 0 into 0 16.698 * [backup-simplify]: Simplify 1 into 1 16.698 * [backup-simplify]: Simplify (/ 1 1) into 1 16.698 * [taylor]: Taking taylor expansion of 1.0 in k 16.698 * [backup-simplify]: Simplify 1.0 into 1.0 16.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.698 * [taylor]: Taking taylor expansion of -2.0 in k 16.698 * [backup-simplify]: Simplify -2.0 into -2.0 16.698 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.698 * [taylor]: Taking taylor expansion of PI in k 16.698 * [backup-simplify]: Simplify PI into PI 16.698 * [taylor]: Taking taylor expansion of n in k 16.698 * [backup-simplify]: Simplify n into n 16.698 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.698 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.698 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.699 * [backup-simplify]: Simplify (+ 1 0) into 1 16.699 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.699 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 16.699 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 16.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.699 * [taylor]: Taking taylor expansion of 0.5 in n 16.699 * [backup-simplify]: Simplify 0.5 into 0.5 16.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.699 * [taylor]: Taking taylor expansion of k in n 16.699 * [backup-simplify]: Simplify k into k 16.699 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.699 * [taylor]: Taking taylor expansion of 1.0 in n 16.699 * [backup-simplify]: Simplify 1.0 into 1.0 16.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.700 * [taylor]: Taking taylor expansion of -2.0 in n 16.700 * [backup-simplify]: Simplify -2.0 into -2.0 16.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.700 * [taylor]: Taking taylor expansion of PI in n 16.700 * [backup-simplify]: Simplify PI into PI 16.700 * [taylor]: Taking taylor expansion of n in n 16.700 * [backup-simplify]: Simplify 0 into 0 16.700 * [backup-simplify]: Simplify 1 into 1 16.700 * [backup-simplify]: Simplify (/ PI 1) into PI 16.700 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.701 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.701 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.701 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.702 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.703 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 16.703 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.703 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.704 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.704 * [taylor]: Taking taylor expansion of 0.5 in n 16.704 * [backup-simplify]: Simplify 0.5 into 0.5 16.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.704 * [taylor]: Taking taylor expansion of k in n 16.704 * [backup-simplify]: Simplify k into k 16.704 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.704 * [taylor]: Taking taylor expansion of 1.0 in n 16.704 * [backup-simplify]: Simplify 1.0 into 1.0 16.704 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.704 * [taylor]: Taking taylor expansion of -2.0 in n 16.704 * [backup-simplify]: Simplify -2.0 into -2.0 16.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.704 * [taylor]: Taking taylor expansion of PI in n 16.704 * [backup-simplify]: Simplify PI into PI 16.704 * [taylor]: Taking taylor expansion of n in n 16.704 * [backup-simplify]: Simplify 0 into 0 16.704 * [backup-simplify]: Simplify 1 into 1 16.704 * [backup-simplify]: Simplify (/ PI 1) into PI 16.705 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.705 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.705 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.706 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.707 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.708 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 16.714 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 16.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 16.714 * [taylor]: Taking taylor expansion of 0.5 in k 16.714 * [backup-simplify]: Simplify 0.5 into 0.5 16.714 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 16.714 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.714 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.714 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.714 * [taylor]: Taking taylor expansion of -2.0 in k 16.714 * [backup-simplify]: Simplify -2.0 into -2.0 16.714 * [taylor]: Taking taylor expansion of PI in k 16.714 * [backup-simplify]: Simplify PI into PI 16.714 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.715 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.715 * [taylor]: Taking taylor expansion of (log n) in k 16.715 * [taylor]: Taking taylor expansion of n in k 16.715 * [backup-simplify]: Simplify n into n 16.715 * [backup-simplify]: Simplify (log n) into (log n) 16.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.715 * [taylor]: Taking taylor expansion of k in k 16.715 * [backup-simplify]: Simplify 0 into 0 16.715 * [backup-simplify]: Simplify 1 into 1 16.715 * [backup-simplify]: Simplify (/ 1 1) into 1 16.715 * [taylor]: Taking taylor expansion of 1.0 in k 16.715 * [backup-simplify]: Simplify 1.0 into 1.0 16.716 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.716 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.716 * [backup-simplify]: Simplify (+ 1 0) into 1 16.717 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 16.718 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 16.719 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.719 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.720 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.722 * [backup-simplify]: Simplify (+ 0 0) into 0 16.722 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.723 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.724 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.725 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.725 * [taylor]: Taking taylor expansion of 0 in k 16.725 * [backup-simplify]: Simplify 0 into 0 16.725 * [backup-simplify]: Simplify 0 into 0 16.725 * [backup-simplify]: Simplify 0 into 0 16.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.726 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 16.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.729 * [backup-simplify]: Simplify (+ 0 0) into 0 16.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.730 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.731 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.733 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.733 * [taylor]: Taking taylor expansion of 0 in k 16.733 * [backup-simplify]: Simplify 0 into 0 16.733 * [backup-simplify]: Simplify 0 into 0 16.733 * [backup-simplify]: Simplify 0 into 0 16.733 * [backup-simplify]: Simplify 0 into 0 16.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.734 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.739 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 16.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.740 * [backup-simplify]: Simplify (+ 0 0) into 0 16.741 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.743 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.745 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.748 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.748 * [taylor]: Taking taylor expansion of 0 in k 16.748 * [backup-simplify]: Simplify 0 into 0 16.748 * [backup-simplify]: Simplify 0 into 0 16.750 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 16.750 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 16.750 * [backup-simplify]: Simplify (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 16.750 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 16.750 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 16.750 * [taylor]: Taking taylor expansion of 1.0 in k 16.750 * [backup-simplify]: Simplify 1.0 into 1.0 16.750 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 16.750 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 16.750 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 16.751 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 16.751 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 16.751 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 16.751 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 16.751 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 16.751 * [taylor]: Taking taylor expansion of 1/6 in k 16.751 * [backup-simplify]: Simplify 1/6 into 1/6 16.751 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.751 * [taylor]: Taking taylor expansion of k in k 16.751 * [backup-simplify]: Simplify 0 into 0 16.751 * [backup-simplify]: Simplify 1 into 1 16.751 * [backup-simplify]: Simplify (/ 1 1) into 1 16.752 * [backup-simplify]: Simplify (log 1) into 0 16.752 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.752 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 16.752 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 16.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 16.753 * [taylor]: Taking taylor expansion of 1.0 in k 16.753 * [backup-simplify]: Simplify 1.0 into 1.0 16.753 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 16.753 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 16.753 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 16.753 * [backup-simplify]: Simplify (fabs (pow k 1/3)) into (fabs (pow k 1/3)) 16.753 * [backup-simplify]: Simplify (/ 1 (fabs (pow k 1/3))) into (/ 1 (fabs (pow k 1/3))) 16.753 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 16.753 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 16.753 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 16.753 * [taylor]: Taking taylor expansion of 1/6 in k 16.753 * [backup-simplify]: Simplify 1/6 into 1/6 16.753 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 16.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.753 * [taylor]: Taking taylor expansion of k in k 16.753 * [backup-simplify]: Simplify 0 into 0 16.753 * [backup-simplify]: Simplify 1 into 1 16.754 * [backup-simplify]: Simplify (/ 1 1) into 1 16.754 * [backup-simplify]: Simplify (log 1) into 0 16.754 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.755 * [backup-simplify]: Simplify (* 1/6 (- (log k))) into (* -1/6 (log k)) 16.755 * [backup-simplify]: Simplify (exp (* -1/6 (log k))) into (pow k -1/6) 16.755 * [backup-simplify]: Simplify (* (/ 1 (fabs (pow k 1/3))) (pow k -1/6)) into (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) 16.755 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 16.756 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 16.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.758 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.758 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.759 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log k)))) into 0 16.760 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))))) into 0 16.760 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (* 0 (pow k -1/6))) into 0 16.761 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)))) into 0 16.761 * [backup-simplify]: Simplify 0 into 0 16.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.765 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.765 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.766 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 16.767 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 16.769 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (* 0 (pow k -1/6)))) into 0 16.770 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))))) into 0 16.770 * [backup-simplify]: Simplify 0 into 0 16.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.776 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.776 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.778 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 16.779 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 16.781 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6))))) into 0 16.782 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)))))) into 0 16.782 * [backup-simplify]: Simplify 0 into 0 16.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.795 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.795 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.797 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 16.800 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 16.802 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6)))))) into 0 16.804 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))))))) into 0 16.804 * [backup-simplify]: Simplify 0 into 0 16.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.823 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.824 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.826 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 16.830 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 16.833 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6))))))) into 0 16.835 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)))))))) into 0 16.835 * [backup-simplify]: Simplify 0 into 0 16.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.876 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.877 * [backup-simplify]: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 16.879 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 16.885 * [backup-simplify]: Simplify (* (exp (* -1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow k 1/3))) (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))) (* 0 (/ 0 (fabs (pow k 1/3)))))) into 0 16.888 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow k 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/6)))))))) into 0 16.890 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))))))))) into 0 16.890 * [backup-simplify]: Simplify 0 into 0 16.890 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 16.890 * [backup-simplify]: Simplify (/ (/ 1.0 (fabs (cbrt (/ 1 k)))) (sqrt (cbrt (/ 1 k)))) into (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) 16.890 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) in (k) around 0 16.890 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) in k 16.890 * [taylor]: Taking taylor expansion of 1.0 in k 16.890 * [backup-simplify]: Simplify 1.0 into 1.0 16.890 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) in k 16.890 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 16.890 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 16.891 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 16.891 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 16.891 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 16.891 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 16.891 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 16.891 * [taylor]: Taking taylor expansion of 1/6 in k 16.891 * [backup-simplify]: Simplify 1/6 into 1/6 16.891 * [taylor]: Taking taylor expansion of (log k) in k 16.891 * [taylor]: Taking taylor expansion of k in k 16.891 * [backup-simplify]: Simplify 0 into 0 16.891 * [backup-simplify]: Simplify 1 into 1 16.891 * [backup-simplify]: Simplify (log 1) into 0 16.891 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.891 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 16.891 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 16.891 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) in k 16.891 * [taylor]: Taking taylor expansion of 1.0 in k 16.891 * [backup-simplify]: Simplify 1.0 into 1.0 16.892 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) in k 16.892 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 16.892 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 16.892 * [backup-simplify]: Simplify (fabs (pow (/ 1 k) 1/3)) into (fabs (pow (/ 1 k) 1/3)) 16.892 * [backup-simplify]: Simplify (/ 1 (fabs (pow (/ 1 k) 1/3))) into (/ 1 (fabs (pow (/ 1 k) 1/3))) 16.892 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 16.892 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 16.892 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 16.892 * [taylor]: Taking taylor expansion of 1/6 in k 16.892 * [backup-simplify]: Simplify 1/6 into 1/6 16.892 * [taylor]: Taking taylor expansion of (log k) in k 16.892 * [taylor]: Taking taylor expansion of k in k 16.892 * [backup-simplify]: Simplify 0 into 0 16.892 * [backup-simplify]: Simplify 1 into 1 16.892 * [backup-simplify]: Simplify (log 1) into 0 16.892 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.892 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 16.893 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 16.893 * [backup-simplify]: Simplify (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) into (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)) 16.893 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) into (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) 16.893 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) into (* 1.0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))) 16.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.894 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.895 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 16.895 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 16.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.895 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (* 0 (pow k 1/6))) into 0 16.896 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)))) into 0 16.896 * [backup-simplify]: Simplify 0 into 0 16.897 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 16.898 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.898 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 16.899 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.900 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (* 0 (pow k 1/6)))) into 0 16.901 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))))) into 0 16.901 * [backup-simplify]: Simplify 0 into 0 16.903 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 16.904 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.905 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 16.906 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.907 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))) into 0 16.908 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)))))) into 0 16.908 * [backup-simplify]: Simplify 0 into 0 16.913 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 16.914 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.915 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 16.916 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.918 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))) into 0 16.919 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))))))) into 0 16.919 * [backup-simplify]: Simplify 0 into 0 16.928 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 16.929 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.930 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 16.932 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.934 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))))) into 0 16.935 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6)))))))) into 0 16.935 * [backup-simplify]: Simplify 0 into 0 16.952 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 16.953 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.954 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 16.957 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))) (* 0 (/ 0 (fabs (pow (/ 1 k) 1/3)))))) into 0 16.965 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (pow (/ 1 k) 1/3))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))))) into 0 16.966 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (pow (/ 1 k) 1/3))) (pow k 1/6))))))))) into 0 16.967 * [backup-simplify]: Simplify 0 into 0 16.967 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (pow (/ 1 (/ 1 k)) 1/3))) (pow (/ 1 k) 1/6))) into (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) 16.967 * [backup-simplify]: Simplify (/ (/ 1.0 (fabs (cbrt (/ 1 (- k))))) (sqrt (cbrt (/ 1 (- k))))) into (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) 16.967 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 16.967 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 16.967 * [taylor]: Taking taylor expansion of 1.0 in k 16.967 * [backup-simplify]: Simplify 1.0 into 1.0 16.967 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 16.967 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) in k 16.967 * [taylor]: Taking taylor expansion of (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) in k 16.968 * [backup-simplify]: Simplify (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) into (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) 16.969 * [backup-simplify]: Simplify (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) into (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 16.969 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 16.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 16.969 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 16.969 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.969 * [taylor]: Taking taylor expansion of -1 in k 16.969 * [backup-simplify]: Simplify -1 into -1 16.970 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.970 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.971 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 16.973 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 16.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 16.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 16.976 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 16.976 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 16.976 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 16.976 * [taylor]: Taking taylor expansion of 1/6 in k 16.976 * [backup-simplify]: Simplify 1/6 into 1/6 16.976 * [taylor]: Taking taylor expansion of (log k) in k 16.976 * [taylor]: Taking taylor expansion of k in k 16.976 * [backup-simplify]: Simplify 0 into 0 16.976 * [backup-simplify]: Simplify 1 into 1 16.976 * [backup-simplify]: Simplify (log 1) into 0 16.977 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.977 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 16.977 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 16.977 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 16.977 * [taylor]: Taking taylor expansion of 1.0 in k 16.977 * [backup-simplify]: Simplify 1.0 into 1.0 16.977 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 16.977 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) in k 16.977 * [taylor]: Taking taylor expansion of (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) in k 16.978 * [backup-simplify]: Simplify (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) into (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))) 16.979 * [backup-simplify]: Simplify (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) into (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 16.979 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 16.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 16.979 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 16.979 * [taylor]: Taking taylor expansion of (cbrt -1) in k 16.979 * [taylor]: Taking taylor expansion of -1 in k 16.979 * [backup-simplify]: Simplify -1 into -1 16.979 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 16.980 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 16.981 * [backup-simplify]: Simplify (/ 1 (cbrt -1)) into (/ 1 (cbrt -1)) 16.983 * [backup-simplify]: Simplify (sqrt (/ 1 (cbrt -1))) into (sqrt (/ 1 (cbrt -1))) 16.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))))) into 0 16.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 16.985 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 16.985 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 16.985 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 16.985 * [taylor]: Taking taylor expansion of 1/6 in k 16.985 * [backup-simplify]: Simplify 1/6 into 1/6 16.985 * [taylor]: Taking taylor expansion of (log k) in k 16.985 * [taylor]: Taking taylor expansion of k in k 16.985 * [backup-simplify]: Simplify 0 into 0 16.985 * [backup-simplify]: Simplify 1 into 1 16.986 * [backup-simplify]: Simplify (log 1) into 0 16.986 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.986 * [backup-simplify]: Simplify (* 1/6 (log k)) into (* 1/6 (log k)) 16.986 * [backup-simplify]: Simplify (exp (* 1/6 (log k))) into (pow k 1/6) 16.989 * [backup-simplify]: Simplify (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) into (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) 16.991 * [backup-simplify]: Simplify (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) into (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) 16.994 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) into (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) 16.996 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) into (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) 16.998 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 16.998 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 16.999 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log k))) into 0 17.000 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 17.001 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (* 0 (pow k 1/6))) into 0 17.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 17.005 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) into 0 17.008 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))) into 0 17.008 * [backup-simplify]: Simplify 0 into 0 17.011 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 17.011 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.012 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log k)))) into 0 17.014 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 17.019 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 17.020 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (* 0 (pow k 1/6)))) into 0 17.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 17.025 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))) into 0 17.029 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))) into 0 17.029 * [backup-simplify]: Simplify 0 into 0 17.034 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 17.034 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.036 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 17.037 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 17.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 17.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 17.044 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))) into 0 17.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 17.050 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))) into 0 17.054 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))) into 0 17.054 * [backup-simplify]: Simplify 0 into 0 17.064 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 17.065 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.066 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 17.067 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 17.070 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 17.071 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))) into 0 17.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 17.076 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))) into 0 17.078 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))))) into 0 17.079 * [backup-simplify]: Simplify 0 into 0 17.088 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 17.088 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.089 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 17.096 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 17.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 17.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 17.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 17.101 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6))))))) into 0 17.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 17.106 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))))) into 0 17.109 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))))) into 0 17.109 * [backup-simplify]: Simplify 0 into 0 17.125 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 17.126 * [backup-simplify]: Simplify (+ (* (- -1) (log k)) 0) into (log k) 17.127 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 17.132 * [backup-simplify]: Simplify (* (exp (* 1/6 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 17.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 17.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cbrt -1)) (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))) (* 0 (/ 0 (cbrt -1))))) into 0 17.135 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (cbrt -1))))) into 0 17.137 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (cbrt -1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/6)))))))) into 0 17.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))) (* 0 (/ 0 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3))))))) into 0 17.142 * [backup-simplify]: Simplify (+ (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))))))))) into 0 17.145 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 k) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))))))))) into 0 17.145 * [backup-simplify]: Simplify 0 into 0 17.147 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (fabs (* (cbrt -1) (pow (/ 1 (/ 1 (- k))) 1/3)))) (* (sqrt (/ 1 (cbrt -1))) (pow (/ 1 (- k)) 1/6)))) into (* 1.0 (* (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1)))) (* (pow (/ -1 k) 1/6) (sqrt (/ 1 (cbrt -1)))))) 17.147 * * * [progress]: simplifying candidates 17.151 * [simplify]: Simplifying: (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (log 1.0) (log (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (/ (* (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) 1) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) 1) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 1)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 1) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (cbrt 1))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt 1)) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) 1) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) 1) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 1) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 1) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 1) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 1) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 1) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 1) 1) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 1) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt 1))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 1) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) 1) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* k -1) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* k -1) 1/3) (cbrt -1)) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (/ 1 (fabs (* (pow (* k -1) 1/3) (cbrt -1)))) (* (pow (/ -1 k) 1/6) (sqrt (/ 1 (cbrt -1)))))) 17.156 * * [simplify]: iteration 0: 400 enodes 17.676 * * [simplify]: iteration 1: 939 enodes 17.930 * * [simplify]: iteration 2: 2527 enodes 18.684 * * [simplify]: iteration complete: 5000 enodes 18.685 * * [simplify]: Extracting #0: cost 199 inf + 0 18.687 * * [simplify]: Extracting #1: cost 992 inf + 125 18.693 * * [simplify]: Extracting #2: cost 1669 inf + 11841 18.727 * * [simplify]: Extracting #3: cost 1420 inf + 161183 18.799 * * [simplify]: Extracting #4: cost 649 inf + 432638 18.879 * * [simplify]: Extracting #5: cost 160 inf + 590351 19.004 * * [simplify]: Extracting #6: cost 31 inf + 647257 19.122 * * [simplify]: Extracting #7: cost 0 inf + 666281 19.218 * * [simplify]: Extracting #8: cost 0 inf + 664631 19.347 * * [simplify]: Extracting #9: cost 0 inf + 664431 19.497 * [simplify]: Simplified to: (* 1/3 (log k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (* 1/3 (log k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (/ (* (- 1.0 k) (log (* 2.0 (* PI n)))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 (* PI n)))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 (* PI n)))) 2.0) (/ (* (- 1.0 k) (log (* 2.0 (* PI n)))) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* 2.0 (* PI n)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (/ (+ (sqrt k) (sqrt 1.0)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt k) (sqrt 1.0))) (pow (* 2.0 (* PI n)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (/ (* (- 1.0 k) (log (* 2.0 (* PI n)))) 2.0) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (* (/ 1.0 (fabs (cbrt k))) (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k))))) (* (cbrt k) (sqrt (cbrt k)))) (* (/ (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt k))) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (* (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt (* (cbrt k) (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k)))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (* (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (sqrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (cbrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ (cbrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (fabs (cbrt (cbrt k))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (* (/ (cbrt 1.0) (cbrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (cbrt (sqrt (cbrt k))))) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (* (cbrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (fabs (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (* (/ (cbrt 1.0) (cbrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (sqrt (cbrt k)))) (fabs (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (* (sqrt (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (cbrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (* (fabs (cbrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt (cbrt k)))) (/ (cbrt 1.0) (* (sqrt (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (* (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (cbrt k)) (cbrt (fabs (cbrt k))))) (/ (sqrt 1.0) (* (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (cbrt k)) (cbrt (fabs (cbrt k))))) (/ (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (cbrt k)) (cbrt (fabs (cbrt k))))) (/ (sqrt 1.0) (* (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (sqrt 1.0) (* (fabs (cbrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (sqrt (cbrt k)))) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (* (sqrt (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (fabs (cbrt k))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (fabs (cbrt (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (* (sqrt (cbrt (sqrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ 1 (* (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ 1.0 (* (cbrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k))))) (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ 1 (* (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k))))) (/ 1.0 (* (cbrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k))))) (/ (/ 1 (cbrt (fabs (cbrt k)))) (cbrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (cbrt (fabs (cbrt k)))) (/ (/ (/ 1 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ 1 (* (sqrt (fabs (cbrt k))) (sqrt (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ 1.0 (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (sqrt (sqrt (cbrt k)))) (sqrt (fabs (cbrt k)))) (/ 1.0 (* (sqrt (fabs (cbrt k))) (sqrt (sqrt (cbrt k))))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt k))) (sqrt (fabs (cbrt k)))) (/ (/ 1 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (* (fabs (cbrt k)) (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (fabs (cbrt k))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (fabs (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1.0 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1.0 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (* (fabs (cbrt k)) (cbrt (sqrt (cbrt k))))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (fabs (cbrt k))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (fabs (cbrt (cbrt k)))) (/ (/ 1.0 (sqrt (cbrt (cbrt k)))) (fabs (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1.0 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1.0 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ 1 (* (fabs (cbrt k)) (cbrt (sqrt (cbrt k))))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1.0 (/ (/ 1 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1.0 (fabs (cbrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) 1.0 (/ (/ 1 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) 1.0 (/ (/ 1 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1 (sqrt (cbrt k))) (* (/ (sqrt (cbrt k)) 1.0) (fabs (cbrt k))) (/ (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (* (sqrt (cbrt (* (cbrt k) (cbrt k)))) (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (fabs (cbrt (cbrt k)))) (/ 1.0 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (* (/ (sqrt (cbrt k)) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (* (sqrt (cbrt k)) (fabs (cbrt k))) (cbrt 1.0)) (/ (* (sqrt (cbrt k)) (cbrt (fabs (cbrt k)))) (sqrt 1.0)) (* (sqrt (fabs (cbrt k))) (/ (sqrt (cbrt k)) (sqrt 1.0))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (* (sqrt (fabs (cbrt k))) (/ (sqrt (cbrt k)) 1.0)) (* (/ (sqrt (cbrt k)) 1.0) (fabs (cbrt k))) (* (/ (sqrt (cbrt k)) 1.0) (fabs (cbrt k))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (* (fabs (cbrt k)) (sqrt (cbrt k))) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (cbrt k) (pow (/ 1 k) -1/3) (* (cbrt (- k)) (cbrt -1)) (- (+ (+ (exp (* 0.5 (log (* 2.0 (* PI n))))) (* (* (* 0.125 (* (log (* 2.0 PI)) (log (* 2.0 PI)))) (* k k)) (exp (* 0.5 (log (* 2.0 (* PI n))))))) (+ (* (* (* (log (* 2.0 PI)) 0.25) (* (log n) (* k k))) (exp (* 0.5 (log (* 2.0 (* PI n)))))) (* (exp (* 0.5 (log (* 2.0 (* PI n))))) (* (* (* k (log n)) (* k (log n))) 0.125)))) (* 0.5 (* k (+ (* (exp (* 0.5 (log (* 2.0 (* PI n))))) (log n)) (* (log (* 2.0 PI)) (exp (* 0.5 (log (* 2.0 (* PI n)))))))))) (exp (* (* 0.5 (log (* 2.0 (* PI n)))) (- 1.0 k))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* 1.0 (/ (pow (/ 1 k) 1/6) (fabs (cbrt k)))) (* 1.0 (/ (pow (/ 1 k) 1/6) (fabs (cbrt k)))) (* 1.0 (* (sqrt (/ 1 (cbrt -1))) (/ (pow (/ -1 k) 1/6) (fabs (* (cbrt (- k)) (cbrt -1)))))) 19.547 * * * [progress]: adding candidates to table 21.402 * [progress]: [Phase 3 of 3] Extracting. 21.402 * * [regime]: Finding splitpoints for: (# # # # # # #) 21.404 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 21.404 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 21.520 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 21.615 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 21.696 * * * [regime]: Found split indices: #